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122156928 = 2732195581
BaseRepresentation
bin1110100011111…
…11011110000000
322111212012210200
413101333132000
5222233010203
620042125200
73012213435
oct721773600
9274765720
10122156928
1162a55343
1234ab0800
131c40090a
141231bb8c
15aace9a3
hex747f780

122156928 has 96 divisors (see below), whose sum is σ = 370086600. Its totient is φ = 38568960.

The previous prime is 122156921. The next prime is 122156971. The reversal of 122156928 is 829651221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 122156892 and 122156901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122156921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19098 + ... + 24678.

Almost surely, 2122156928 is an apocalyptic number.

122156928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185043300).

122156928 is an abundant number, since it is smaller than the sum of its proper divisors (247929672).

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

122156928 is a wasteful number, since it uses less digits than its factorization.

122156928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5605 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 122156928 is about 11052.4625310380. The cubic root of 122156928 is about 496.1801288181.

The spelling of 122156928 in words is "one hundred twenty-two million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 5581 7296 10944 11162 16743 21888 22324 33486 44648 50229 66972 89296 100458 106039 133944 178592 200916 212078 267888 318117 357184 401832 424156 535776 636234 714368 803664 848312 954351 1071552 1272468 1607328 1696624 1908702 2143104 2544936 3214656 3393248 3817404 5089872 6429312 6786496 7634808 10179744 13572992 15269616 20359488 30539232 40718976 61078464 122156928