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1232623420 = 2257217241307
BaseRepresentation
bin100100101111000…
…0101011100111100
310011220101202110021
41021132011130330
510011022422140
6322151221524
742355061200
oct11136053474
93156352407
101232623420
11582869246
122a49778a4
131684a7592
14b99c2b00
1573331b4a
hex4978573c

1232623420 has 144 divisors (see below), whose sum is σ = 3211905312. Its totient is φ = 394813440.

The previous prime is 1232623417. The next prime is 1232623421. The reversal of 1232623420 is 243262321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232623421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4014907 + ... + 4015213.

It is an arithmetic number, because the mean of its divisors is an integer number (22304898).

Almost surely, 21232623420 is an apocalyptic number.

1232623420 is a gapful number since it is divisible by the number (10) 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 1232623420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605952656).

1232623420 is an abundant number, since it is smaller than the sum of its proper divisors (1979281892).

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

1232623420 is a wasteful number, since it uses less digits than its factorization.

1232623420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1232623420 is about 35108.7370892204. The cubic root of 1232623420 is about 1072.2024741467.

Adding to 1232623420 its reverse (243262321), we get a palindrome (1475885741).

The spelling of 1232623420 in words is "one billion, two hundred thirty-two million, six hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 241 245 307 340 476 482 490 595 614 833 964 980 1190 1205 1228 1535 1666 1687 2149 2380 2410 3070 3332 3374 4097 4165 4298 4820 5219 6140 6748 8194 8330 8435 8596 10438 10745 11809 15043 16388 16660 16870 20485 20876 21490 23618 26095 28679 30086 33740 36533 40970 42980 47236 52190 57358 59045 60172 73066 73987 75215 81940 104380 114716 118090 143395 146132 147974 150430 182665 200753 236180 255731 286790 295948 300860 365330 369935 401506 511462 517909 573580 730660 739870 803012 1003765 1022924 1035818 1257779 1278655 1479740 2007530 2071636 2515558 2557310 2589545 3625363 4015060 5031116 5114620 5179090 6288895 7250726 8804453 10358180 12577790 14501452 17608906 18126815 25155580 35217812 36253630 44022265 61631171 72507260 88044530 123262342 176089060 246524684 308155855 616311710 1232623420