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123132996 = 223271925717
BaseRepresentation
bin1110101011011…
…01110001000100
322120200210201100
413111231301010
5223010223441
620115100100
73023420220
oct725556104
9276623640
10123132996
1163561708
12352a1630
131c682c7c
14124d3780
15ac23cb6
hex756dc44

123132996 has 72 divisors (see below), whose sum is σ = 374454080. Its totient is φ = 33327936.

The previous prime is 123132991. The next prime is 123133019. The reversal of 123132996 is 699231321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123132996.

It is not an unprimeable number, because it can be changed into a prime (123132991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8071 + ... + 17646.

Almost surely, 2123132996 is an apocalyptic number.

It is an amenable number.

123132996 is an abundant number, since it is smaller than the sum of its proper divisors (251321084).

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

123132996 is a wasteful number, since it uses less digits than its factorization.

123132996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25753 (or 25748 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 123132996 is about 11096.5308092214. The cubic root of 123132996 is about 497.4981638443.

The spelling of 123132996 in words is "one hundred twenty-three million, one hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 25717 51434 77151 102868 154302 180019 231453 308604 360038 462906 488623 540057 720076 925812 977246 1080114 1465869 1620171 1954492 2160228 2931738 3240342 3420361 4397607 5863476 6480684 6840722 8795214 10261083 13681444 17590428 20522166 30783249 41044332 61566498 123132996