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122000928 = 2537181549
BaseRepresentation
bin1110100010110…
…01011000100000
322111120021210220
413101121120200
5222213012203
620034523040
73010663560
oct721313040
9274507726
10122000928
1162959115
1234a36480
131c3778ca
14122bada0
15aa9d653
hex7459620

122000928 has 48 divisors (see below), whose sum is σ = 366004800. Its totient is φ = 34857216.

The previous prime is 122000917. The next prime is 122000971. The reversal of 122000928 is 829000221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1220009282 = 29768452865722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122000898 and 122000907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90103 + ... + 91446.

It is an arithmetic number, because the mean of its divisors is an integer number (7625100).

Almost surely, 2122000928 is an apocalyptic number.

It is an amenable number.

122000928 is an abundant number, since it is smaller than the sum of its proper divisors (244003872).

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

122000928 is a wasteful number, since it uses less digits than its factorization.

122000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181569 (or 181561 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 122000928 is about 11045.4030256935. The cubic root of 122000928 is about 495.9688239163.

The spelling of 122000928 in words is "one hundred twenty-two million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 181549 363098 544647 726196 1089294 1270843 1452392 2178588 2541686 2904784 3812529 4357176 5083372 5809568 7625058 8714352 10166744 15250116 17428704 20333488 30500232 40666976 61000464 122000928