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122666920 = 2358934457
BaseRepresentation
bin1110100111110…
…11111110101000
322112211010101021
413103323332220
5222400320140
620101102224
73016436335
oct723737650
9275733337
10122666920
1163273522
12350b7974
131c54ba9c
141241198c
15ab80b4a
hex74fbfa8

122666920 has 32 divisors (see below), whose sum is σ = 279109800. Its totient is φ = 48514048.

The previous prime is 122666911. The next prime is 122666953. The reversal of 122666920 is 29666221.

It can be written as a sum of positive squares in 4 ways, for example, as 88021924 + 34644996 = 9382^2 + 5886^2 .

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, 13669 + ... + 20788.

Almost surely, 2122666920 is an apocalyptic number.

122666920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122666920 is an abundant number, since it is smaller than the sum of its proper divisors (156442880).

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

122666920 is a wasteful number, since it uses less digits than its factorization.

122666920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34557 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 122666920 is about 11075.5099205409. The cubic root of 122666920 is about 496.8696696289.

The spelling of 122666920 in words is "one hundred twenty-two million, six hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 34457 68914 137828 172285 275656 344570 689140 1378280 3066673 6133346 12266692 15333365 24533384 30666730 61333460 122666920