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121937856 = 263679479
BaseRepresentation
bin1110100010010…
…01111111000000
322111110002021220
413101021333000
5222204002411
620033315040
73010311645
oct721117700
9274402256
10121937856
1162915797
1234a05a80
131c354ca1
14122a1dcc
15aa89b06
hex7449fc0

121937856 has 56 divisors (see below), whose sum is σ = 327477120. Its totient is φ = 40035072.

The previous prime is 121937833. The next prime is 121937861. The reversal of 121937856 is 658739121.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8125 + ... + 17603.

Almost surely, 2121937856 is an apocalyptic number.

121937856 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 121937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163738560).

121937856 is an abundant number, since it is smaller than the sum of its proper divisors (205539264).

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

121937856 is an equidigital number, since it uses as much as digits as its factorization.

121937856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9551 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 121937856 is about 11042.5475321594. The cubic root of 121937856 is about 495.8833405832.

The spelling of 121937856 in words is "one hundred twenty-one million, nine hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 9479 12864 18958 28437 37916 56874 75832 113748 151664 227496 303328 454992 606656 635093 909984 1270186 1819968 1905279 2540372 3810558 5080744 7621116 10161488 15242232 20322976 30484464 40645952 60968928 121937856