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90965161 = 7232512251
BaseRepresentation
bin1010110110000…
…00010010101001
320100011111202001
411123000102221
5141241341121
613005411001
72153122360
oct533002251
9210144661
1090965161
1147390521
1226569a61
1315acc351
14c11c7d7
157ebc991
hex56c04a9

90965161 has 16 divisors (see below), whose sum is σ = 108960768. Its totient is φ = 74250000.

The previous prime is 90965159. The next prime is 90965201. The reversal of 90965161 is 16156909.

It is a 6-Lehmer number, since φ(90965161) divides (90965161-1)6.

It is a cyclic number.

It is not a de Polignac number, because 90965161 - 21 = 90965159 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90965161.

It is not an unprimeable number, because it can be changed into a prime (90965131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39286 + ... + 41536.

It is an arithmetic number, because the mean of its divisors is an integer number (6810048).

Almost surely, 290965161 is an apocalyptic number.

It is an amenable number.

90965161 is a deficient number, since it is larger than the sum of its proper divisors (17995607).

90965161 is a wasteful number, since it uses less digits than its factorization.

90965161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532.

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 90965161 is about 9537.5657795897. The cubic root of 90965161 is about 449.7367365480.

The spelling of 90965161 in words is "ninety million, nine hundred sixty-five thousand, one hundred sixty-one".

Divisors: 1 7 23 161 251 1757 2251 5773 15757 40411 51773 362411 565001 3955007 12995023 90965161