Search a number
-
+
10267519080 = 2335713940249
BaseRepresentation
bin10011000111111110…
…11110100001101000
3222111120011000022110
421203333132201220
5132011441102310
64414500322320
7512303320650
oct114377364150
928446130273
1010267519080
114399824065
121ba66a33a0
13c78254ca0
146d58bd360
15401602d20
hex263fde868

10267519080 has 128 divisors (see below), whose sum is σ = 37910880000. Its totient is φ = 2166331392.

The previous prime is 10267519061. The next prime is 10267519103. The reversal of 10267519080 is 8091576201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459205 + ... + 481044.

It is an arithmetic number, because the mean of its divisors is an integer number (296178750).

Almost surely, 210267519080 is an apocalyptic number.

10267519080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10267519080 is an abundant number, since it is smaller than the sum of its proper divisors (27643360920).

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

10267519080 is a wasteful number, since it uses less digits than its factorization.

10267519080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940283 (or 940279 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10267519080 in words is "ten billion, two hundred sixty-seven million, five hundred nineteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 940249 1880498 2820747 3760996 4701245 5641494 6581743 7521992 9402490 11282988 12223237 13163486 14103735 18804980 19745229 22565976 24446474 26326972 28207470 32908715 36669711 37609960 39490458 48892948 52653944 56414940 61116185 65817430 73339422 78980916 85562659 97785896 98726145 112829880 122232370 131634860 146678844 157961832 171125318 183348555 197452290 244464740 256687977 263269720 293357688 342250636 366697110 394904580 427813295 488929480 513375954 684501272 733394220 789809160 855626590 1026751908 1283439885 1466788440 1711253180 2053503816 2566879770 3422506360 5133759540 10267519080