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122383968 = 2537226017
BaseRepresentation
bin1110100101101…
…10111001100000
322112021202020120
413102312321200
5222312241333
620051040240
73014150400
oct722667140
9275252216
10122383968
116309a983
1234ba0080
131c480065
141237a800
15ab26db3
hex74b6e60

122383968 has 72 divisors (see below), whose sum is σ = 373722552. Its totient is φ = 34965504.

The previous prime is 122383967. The next prime is 122383979. The reversal of 122383968 is 869383221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122383967) 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, 8305 + ... + 17712.

It is an arithmetic number, because the mean of its divisors is an integer number (5190591).

Almost surely, 2122383968 is an apocalyptic number.

It is an amenable number.

122383968 is an abundant number, since it is smaller than the sum of its proper divisors (251338584).

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

122383968 is a wasteful number, since it uses less digits than its factorization.

122383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26044 (or 26029 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 122383968 is about 11062.7287772954. The cubic root of 122383968 is about 496.4873375274.

The spelling of 122383968 in words is "one hundred twenty-two million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 26017 52034 78051 104068 156102 182119 208136 312204 364238 416272 546357 624408 728476 832544 1092714 1248816 1274833 1456952 2185428 2497632 2549666 2913904 3824499 4370856 5099332 5827808 7648998 8741712 10198664 15297996 17483424 20397328 30595992 40794656 61191984 122383968