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121159296 = 2732105173
BaseRepresentation
bin1110011100010…
…11111010000000
322102222112022100
413032023322000
5222004044141
620004510400
73000560046
oct716137200
9272875270
10121159296
1162433855
12346ab400
131c1417bb
141213c396
15a9840b6
hex738be80

121159296 has 48 divisors (see below), whose sum is σ = 348651810. Its totient is φ = 40386048.

The previous prime is 121159243. The next prime is 121159307. The reversal of 121159296 is 692951121.

It can be written as a sum of positive squares in only one way, i.e., 114062400 + 7096896 = 10680^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 121159296.

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 5 ways as a sum of consecutive naturals, for example, 51435 + ... + 53738.

Almost surely, 2121159296 is an apocalyptic number.

121159296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121159296 is an abundant number, since it is smaller than the sum of its proper divisors (227492514).

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

121159296 is a wasteful number, since it uses less digits than its factorization.

121159296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105193 (or 105178 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 121159296 is about 11007.2383457432. The cubic root of 121159296 is about 494.8256992686.

The spelling of 121159296 in words is "one hundred twenty-one million, one hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 105173 210346 315519 420692 631038 841384 946557 1262076 1682768 1893114 2524152 3365536 3786228 5048304 6731072 7572456 10096608 13462144 15144912 20193216 30289824 40386432 60579648 121159296