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123901056 = 273335851
BaseRepresentation
bin1110110001010…
…01010010000000
322122010211022000
413120221102000
5223204313211
620143344000
73033066366
oct730512200
9278124260
10123901056
1163a36774
12355b2000
131c891746
1412653636
15ad26656
hex7629480

123901056 has 64 divisors (see below), whose sum is σ = 365690400. Its totient is φ = 41299200.

The previous prime is 123901051. The next prime is 123901067. The reversal of 123901056 is 650109321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1239010563 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123901051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14470 + ... + 21381.

Almost surely, 2123901056 is an apocalyptic number.

123901056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123901056 is an abundant number, since it is smaller than the sum of its proper divisors (241789344).

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

123901056 is an equidigital number, since it uses as much as digits as its factorization.

123901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35874 (or 35856 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 123901056 is about 11131.0851223050. The cubic root of 123901056 is about 498.5304262711.

The spelling of 123901056 in words is "one hundred twenty-three million, nine hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 35851 71702 107553 143404 215106 286808 322659 430212 573616 645318 860424 967977 1147232 1290636 1720848 1935954 2294464 2581272 3441696 3871908 4588928 5162544 6883392 7743816 10325088 13766784 15487632 20650176 30975264 41300352 61950528 123901056