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121052304 = 24326113781
BaseRepresentation
bin1110011011100…
…01110010010000
322102210002112200
413031301302100
5221442133204
620002323200
72666633112
oct715616220
9272702480
10121052304
116237042a
1234659500
131c104ba9
14121113b2
15a962539
hex7371c90

121052304 has 60 divisors (see below), whose sum is σ = 344357052. Its totient is φ = 39686400.

The previous prime is 121052299. The next prime is 121052357. The reversal of 121052304 is 403250121.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 91240704 = 5460^2 + 9552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 1894 + ... + 15674.

Almost surely, 2121052304 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 121052304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172178526).

121052304 is an abundant number, since it is smaller than the sum of its proper divisors (223304748).

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

121052304 is a wasteful number, since it uses less digits than its factorization.

121052304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13847 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121052304 is about 11002.3771976787. The cubic root of 121052304 is about 494.6800013196.

The spelling of 121052304 in words is "one hundred twenty-one million, fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 13781 27562 41343 55124 82686 110248 124029 165372 220496 248058 330744 496116 661488 840641 992232 1681282 1984464 2521923 3362564 5043846 6725128 7565769 10087692 13450256 15131538 20175384 30263076 40350768 60526152 121052304