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121636836 = 22331797683
BaseRepresentation
bin1110100000000…
…00011111100100
322110212210101000
413100000133210
5222114334321
620023033300
73004616226
oct720003744
9273783330
10121636836
116272a612
123489b830
131c27ac79
1412224416
15aa2a826
hex74007e4

121636836 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 37711872.

The previous prime is 121636831. The next prime is 121636843. The reversal of 121636836 is 638636121.

121636836 is a `hidden beast` number, since 12 + 1 + 636 + 8 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121636836.

It is not an unprimeable number, because it can be changed into a prime (121636831) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177751 + ... + 178433.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2121636836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121636836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

121636836 is an abundant number, since it is smaller than the sum of its proper divisors (216204444).

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

121636836 is a wasteful number, since it uses less digits than its factorization.

121636836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 121636836 is about 11028.9091028986. The cubic root of 121636836 is about 495.4749527686.

The spelling of 121636836 in words is "one hundred twenty-one million, six hundred thirty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 683 873 918 1164 1366 1649 1746 1836 2049 2619 2732 3298 3492 4098 4947 5238 6147 6596 8196 9894 10476 11611 12294 14841 18441 19788 23222 24588 29682 34833 36882 44523 46444 59364 66251 69666 73764 89046 104499 132502 139332 178092 198753 208998 265004 313497 397506 417996 596259 626994 795012 1126267 1192518 1253988 1788777 2252534 2385036 3378801 3577554 4505068 6757602 7155108 10136403 13515204 20272806 30409209 40545612 60818418 121636836