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121979304 = 23332343571
BaseRepresentation
bin1110100010101…
…00000110101000
322111112012011000
413101110012220
5222211314204
620034235000
73010543536
oct721240650
9274465130
10121979304
1162943947
1234a25a60
131c36ab05
14122b3156
15aa97039
hex74541a8

121979304 has 128 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 37920960.

The previous prime is 121979303. The next prime is 121979323. The reversal of 121979304 is 403979121.

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

It is not an unprimeable number, because it can be changed into a prime (121979303) 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, 213339 + ... + 213909.

It is an arithmetic number, because the mean of its divisors is an integer number (2831400).

Almost surely, 2121979304 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 121979304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

121979304 is an abundant number, since it is smaller than the sum of its proper divisors (240439896).

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

121979304 is a wasteful number, since it uses less digits than its factorization.

121979304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 121979304 is about 11044.4241135516. The cubic root of 121979304 is about 495.9395195940.

The spelling of 121979304 in words is "one hundred twenty-one million, nine hundred seventy-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 43 46 54 69 72 86 92 108 129 138 172 184 207 216 258 276 344 387 414 516 552 571 621 774 828 989 1032 1142 1161 1242 1548 1656 1713 1978 2284 2322 2484 2967 3096 3426 3956 4568 4644 4968 5139 5934 6852 7912 8901 9288 10278 11868 13133 13704 15417 17802 20556 23736 24553 26266 26703 30834 35604 39399 41112 49106 52532 53406 61668 71208 73659 78798 98212 105064 106812 118197 123336 147318 157596 196424 213624 220977 236394 294636 315192 354591 441954 472788 564719 589272 662931 709182 883908 945576 1129438 1325862 1418364 1694157 1767816 2258876 2651724 2836728 3388314 4517752 5082471 5303448 6776628 10164942 13553256 15247413 20329884 30494826 40659768 60989652 121979304