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122696864 = 2561239263
BaseRepresentation
bin1110101000000…
…11010010100000
322112212122110022
413110003102200
5222402244424
620101453012
73016622543
oct724032240
9275778408
10122696864
1163293a74
1235111168
131c55c5c4
141241c85a
15ab8995e
hex75034a0

122696864 has 48 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 59861760.

The previous prime is 122696857. The next prime is 122696897. The reversal of 122696864 is 468696221.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466397 + ... + 466659.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2122696864 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 122696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

122696864 is an abundant number, since it is smaller than the sum of its proper divisors (124787296).

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

122696864 is a wasteful number, since it uses less digits than its factorization.

122696864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 122696864 is about 11076.8616494023. The cubic root of 122696864 is about 496.9100963251.

The spelling of 122696864 in words is "one hundred twenty-two million, six hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 122 239 244 263 478 488 526 956 976 1052 1912 1952 2104 3824 4208 7648 8416 14579 16043 29158 32086 58316 62857 64172 116632 125714 128344 233264 251428 256688 466528 502856 513376 1005712 2011424 3834277 7668554 15337108 30674216 61348432 122696864