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713000232 = 23347198273
BaseRepresentation
bin101010011111111…
…000010100101000
31211200122011110000
4222133320110220
52430012001412
6154430023000
723445254610
oct5237702450
91750564400
10713000232
1133651969a
1217a947a60
13b4941739
146a99da40
15428de4dc
hex2a7f8528

713000232 has 160 divisors (see below), whose sum is σ = 2402769600. Its totient is φ = 192969216.

The previous prime is 713000227. The next prime is 713000237. The reversal of 713000232 is 232000317.

713000232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (713000227) and next prime (713000237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (713000237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82048 + ... + 90320.

It is an arithmetic number, because the mean of its divisors is an integer number (15017310).

Almost surely, 2713000232 is an apocalyptic number.

713000232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201384800).

713000232 is an abundant number, since it is smaller than the sum of its proper divisors (1689769368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

713000232 is a wasteful number, since it uses less digits than its factorization.

713000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 713000232 is about 26702.0641898712. The cubic root of 713000232 is about 893.3669677443.

Adding to 713000232 its reverse (232000317), we get a palindrome (945000549).

The spelling of 713000232 in words is "seven hundred thirteen million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 8273 9576 10773 12312 14364 16546 21546 24819 28728 33092 43092 49638 57911 66184 74457 86184 99276 115822 148914 157187 173733 198552 223371 231644 297828 314374 347466 446742 463288 471561 521199 595656 628748 670113 694932 893484 943122 1042398 1100309 1257496 1340226 1389864 1414683 1563597 1786968 1886244 2084796 2200618 2680452 2829366 3127194 3300927 3772488 4169592 4244049 4401236 4690791 5360904 5658732 6254388 6601854 8488098 8802472 9381582 9902781 11317464 12508776 12732147 13203708 16976196 18763164 19805562 25464294 26407416 29708343 33952392 37526328 39611124 50928588 59416686 79222248 89125029 101857176 118833372 178250058 237666744 356500116 713000232