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122842496 = 277711931
BaseRepresentation
bin1110101001001…
…10110110000000
322120011001020002
413110212312000
5222421424441
620104535132
73021100250
oct724466600
9276131202
10122842496
1163383427
12351814a8
131c5b098a
1412459960
15abb7b9b
hex7526d80

122842496 has 64 divisors (see below), whose sum is σ = 283772160. Its totient is φ = 51878400.

The previous prime is 122842487. The next prime is 122842507. The reversal of 122842496 is 694248221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 62651 + ... + 64581.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2122842496 is an apocalyptic number.

122842496 is a gapful number since it is divisible by the number (16) 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 122842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141886080).

122842496 is an abundant number, since it is smaller than the sum of its proper divisors (160929664).

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

122842496 is an equidigital number, since it uses as much as digits as its factorization.

122842496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2011 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 122842496 is about 11083.4334030570. The cubic root of 122842496 is about 497.1066169658.

The spelling of 122842496 in words is "one hundred twenty-two million, eight hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1931 1988 2272 3862 3976 4544 7724 7952 9088 13517 15448 15904 27034 30896 31808 54068 61792 63616 108136 123584 137101 216272 247168 274202 432544 548404 865088 959707 1096808 1730176 1919414 2193616 3838828 4387232 7677656 8774464 15355312 17548928 30710624 61421248 122842496