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122417672 = 23131177093
BaseRepresentation
bin1110100101111…
…11001000001000
322112100110110212
413102333020020
5222314331142
620051500252
73014350556
oct722771010
9275313425
10122417672
1163113233
1234bb7688
131c4924c0
1412388bd6
15ab31d82
hex74bf208

122417672 has 16 divisors (see below), whose sum is σ = 247189740. Its totient is φ = 56500416.

The previous prime is 122417641. The next prime is 122417693. The reversal of 122417672 is 276714221.

It can be written as a sum of positive squares in 2 ways, for example, as 96550276 + 25867396 = 9826^2 + 5086^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 588443 + ... + 588650.

Almost surely, 2122417672 is an apocalyptic number.

It is an amenable number.

122417672 is an abundant number, since it is smaller than the sum of its proper divisors (124772068).

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

122417672 is a wasteful number, since it uses less digits than its factorization.

122417672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177112 (or 1177108 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 122417672 is about 11064.2519855614. The cubic root of 122417672 is about 496.5329101451.

The spelling of 122417672 in words is "one hundred twenty-two million, four hundred seventeen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 1177093 2354186 4708372 9416744 15302209 30604418 61208836 122417672