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123996528 = 24333147197
BaseRepresentation
bin1110110010000…
…00100101110000
322122022200021000
413121000211300
5223220342103
620145402000
73033644625
oct731004560
9278280230
10123996528
1163aa1477
1235639300
131c8c6036
141267a34c
15ad44aa3
hex7640970

123996528 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 38949120.

The previous prime is 123996503. The next prime is 123996529. The reversal of 123996528 is 825699321.

123996528 is a `hidden beast` number, since 1 + 2 + 39 + 96 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123996529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629326 + ... + 629522.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2123996528 is an apocalyptic number.

123996528 is a gapful number since it is divisible by the number (18) 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 123996528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

123996528 is an abundant number, since it is smaller than the sum of its proper divisors (253122192).

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

123996528 is a wasteful number, since it uses less digits than its factorization.

123996528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 123996528 is about 11135.3728271666. The cubic root of 123996528 is about 498.6584409915.

The spelling of 123996528 in words is "one hundred twenty-three million, nine hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 72 93 94 108 124 141 144 186 188 197 216 248 279 282 372 376 394 423 432 496 558 564 591 744 752 788 837 846 1116 1128 1182 1269 1457 1488 1576 1674 1692 1773 2232 2256 2364 2538 2914 3152 3348 3384 3546 4371 4464 4728 5076 5319 5828 6107 6696 6768 7092 8742 9259 9456 10152 10638 11656 12214 13113 13392 14184 17484 18321 18518 20304 21276 23312 24428 26226 27777 28368 34968 36642 37036 39339 42552 48856 52452 54963 55554 69936 73284 74072 78678 83331 85104 97712 104904 109926 111108 146568 148144 157356 164889 166662 209808 219852 222216 249993 287029 293136 314712 329778 333324 439704 444432 499986 574058 629424 659556 666648 861087 879408 999972 1148116 1319112 1333296 1722174 1999944 2296232 2583261 2638224 3444348 3999888 4592464 5166522 6888696 7749783 10333044 13777392 15499566 20666088 30999132 41332176 61998264 123996528