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122956704 = 2534134189
BaseRepresentation
bin1110101010000…
…10101110100000
322120100211220000
413111002232200
5222434103304
620111220000
73022054233
oct725025640
9276324800
10122956704
1163451212
1235217600
131c620960
141248941a
15abdb939
hex7542ba0

122956704 has 240 divisors, whose sum is σ = 403409160. Its totient is φ = 36495360.

The previous prime is 122956697. The next prime is 122956721. The reversal of 122956704 is 407659221.

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 91011600 = 5652^2 + 9540^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1381492 + ... + 1381580.

Almost surely, 2122956704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122956704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201704580).

122956704 is an abundant number, since it is smaller than the sum of its proper divisors (280452456).

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

122956704 is a wasteful number, since it uses less digits than its factorization.

122956704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 122956704 is about 11088.5844001838. The cubic root of 122956704 is about 497.2606243848.

The spelling of 122956704 in words is "one hundred twenty-two million, nine hundred fifty-six thousand, seven hundred four".