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121060864 = 29417379
BaseRepresentation
bin1110011011100…
…11111000000000
322102210112021201
413031303320000
5221442421424
620002430544
73000000061
oct715637000
9272715251
10121060864
1162376901
1234662454
131c108a62
1412114568
15a964d44
hex7373e00

121060864 has 80 divisors (see below), whose sum is σ = 254358720. Its totient is φ = 57507840.

The previous prime is 121060843. The next prime is 121060873. The reversal of 121060864 is 468060121.

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, 1532377 + ... + 1532455.

It is an arithmetic number, because the mean of its divisors is an integer number (3179484).

Almost surely, 2121060864 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 121060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127179360).

121060864 is an abundant number, since it is smaller than the sum of its proper divisors (133297856).

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

121060864 is an frugal number, since it uses more digits than its factorization.

121060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 121060864 is about 11002.7661976432. The cubic root of 121060864 is about 494.6916611858.

The spelling of 121060864 in words is "one hundred twenty-one million, sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 73 79 82 128 146 158 164 256 292 316 328 512 584 632 656 1168 1264 1312 2336 2528 2624 2993 3239 4672 5056 5248 5767 5986 6478 9344 10112 10496 11534 11972 12956 18688 20224 20992 23068 23944 25912 37376 40448 46136 47888 51824 92272 95776 103648 184544 191552 207296 236447 369088 383104 414592 472894 738176 766208 829184 945788 1476352 1532416 1658368 1891576 2952704 3783152 7566304 15132608 30265216 60530432 121060864