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1157215716 = 223232144881
BaseRepresentation
bin100010011111001…
…1011010111100100
32222122111122112100
41010332123113210
54332221400331
6310455052100
740451112516
oct10476332744
92878448470
101157215716
11544244328
12283671030
13155994537
14ad993bb6
156b8d8ae6
hex44f9b5e4

1157215716 has 18 divisors (see below), whose sum is σ = 2925184262. Its totient is φ = 385738560.

The previous prime is 1157215679. The next prime is 1157215753. The reversal of 1157215716 is 6175127511.

It is a happy number.

1157215716 is a `hidden beast` number, since 1 + 1 + 572 + 15 + 71 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1157215679) and next prime (1157215753).

It can be written as a sum of positive squares in only one way, i.e., 970073316 + 187142400 = 31146^2 + 13680^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 32144881 = 1157215716 / (1 + 1 + 5 + 7 + 2 + 1 + 5 + 7 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16072405 + ... + 16072476.

Almost surely, 21157215716 is an apocalyptic number.

It is an amenable number.

1157215716 is an abundant number, since it is smaller than the sum of its proper divisors (1767968546).

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

1157215716 is a wasteful number, since it uses less digits than its factorization.

1157215716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32144891 (or 32144886 counting only the distinct ones).

The product of its digits is 14700, while the sum is 36.

The square root of 1157215716 is about 34017.8734785113. The cubic root of 1157215716 is about 1049.8762411960.

The spelling of 1157215716 in words is "one billion, one hundred fifty-seven million, two hundred fifteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 32144881 64289762 96434643 128579524 192869286 289303929 385738572 578607858 1157215716