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121645056 = 2113131523
BaseRepresentation
bin1110100000000…
…10100000000000
322110220012122110
413100002200000
5222120120211
620023135320
73004652211
oct720024000
9273805573
10121645056
1162735805
12348a4540
131c281930
1412227408
15aa2cea6
hex7402800

121645056 has 96 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 37404672.

The previous prime is 121645037. The next prime is 121645057. The reversal of 121645056 is 650546121.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (121645057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79111 + ... + 80633.

It is an arithmetic number, because the mean of its divisors is an integer number (3640455).

Almost surely, 2121645056 is an apocalyptic number.

121645056 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 121645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

121645056 is an abundant number, since it is smaller than the sum of its proper divisors (227838624).

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

121645056 is a wasteful number, since it uses less digits than its factorization.

121645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 121645056 is about 11029.2817535867. The cubic root of 121645056 is about 495.4861136211.

The spelling of 121645056 in words is "one hundred twenty-one million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1523 1536 1664 2048 2496 3046 3072 3328 4569 4992 6092 6144 6656 9138 9984 12184 13312 18276 19799 19968 24368 26624 36552 39598 39936 48736 59397 73104 79196 79872 97472 118794 146208 158392 194944 237588 292416 316784 389888 475176 584832 633568 779776 950352 1169664 1267136 1559552 1900704 2339328 2534272 3119104 3801408 4678656 5068544 7602816 9357312 10137088 15205632 20274176 30411264 40548352 60822528 121645056