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122953064 = 23136119381
BaseRepresentation
bin1110101010000…
…01110101101000
322120100122220012
413111001311220
5222433444224
620111151052
73022040513
oct725016550
9276318805
10122953064
1163449503
1235215488
131c61c0c0
1412487d7a
15abda80e
hex7541d68

122953064 has 32 divisors (see below), whose sum is σ = 252353640. Its totient is φ = 55814400.

The previous prime is 122953013. The next prime is 122953067. The reversal of 122953064 is 460359221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66552964 + 56400100 = 8158^2 + 7510^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122953064.

It is not an unprimeable number, because it can be changed into a prime (122953067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3347 + ... + 16034.

Almost surely, 2122953064 is an apocalyptic number.

It is an amenable number.

122953064 is an abundant number, since it is smaller than the sum of its proper divisors (129400576).

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

122953064 is a wasteful number, since it uses less digits than its factorization.

122953064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461 (or 19457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 122953064 is about 11088.4202662056. The cubic root of 122953064 is about 497.2557173824.

The spelling of 122953064 in words is "one hundred twenty-two million, nine hundred fifty-three thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 19381 38762 77524 155048 251953 503906 1007812 1182241 2015624 2364482 4728964 9457928 15369133 30738266 61476532 122953064