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1679120961 = 37717315427
BaseRepresentation
bin110010000010101…
…0101101001000001
311100000120011221020
41210011111221001
511414323332321
6434341220053
756416202250
oct14405255101
94300504836
101679120961
11791902481
123aa401629
13209b48ccb
1411d00c797
159c62c4c6
hex64155a41

1679120961 has 32 divisors (see below), whose sum is σ = 2630412288. Its totient is φ = 932964480.

The previous prime is 1679120941. The next prime is 1679120981. The reversal of 1679120961 is 1690219761.

It is an interprime number because it is at equal distance from previous prime (1679120941) and next prime (1679120981).

It is not a de Polignac number, because 1679120961 - 214 = 1679104577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1679120941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101130 + ... + 116556.

It is an arithmetic number, because the mean of its divisors is an integer number (82200384).

Almost surely, 21679120961 is an apocalyptic number.

It is an amenable number.

1679120961 is a deficient number, since it is larger than the sum of its proper divisors (951291327).

1679120961 is a wasteful number, since it uses less digits than its factorization.

1679120961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581.

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 1679120961 is about 40977.0784829763. The cubic root of 1679120961 is about 1188.5770155221.

The spelling of 1679120961 in words is "one billion, six hundred seventy-nine million, one hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 3 7 21 71 73 213 219 497 511 1491 1533 5183 15427 15549 36281 46281 107989 108843 323967 1095317 1126171 3285951 3378513 7667219 7883197 23001657 23649591 79958141 239874423 559706987 1679120961