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20162961 = 3272133517
BaseRepresentation
bin100110011101…
…0100110010001
31101221101101100
41030322212101
520130203321
62000055013
7333245100
oct114724621
941841340
1020162961
1110421805
126904469
13423c660
14296c037
151b84326
hex133a991

20162961 has 36 divisors (see below), whose sum is σ = 36495732. Its totient is φ = 10632384.

The previous prime is 20162959. The next prime is 20162963. The reversal of 20162961 is 16926102.

It is an interprime number because it is at equal distance from previous prime (20162959) and next prime (20162963).

It can be written as a sum of positive squares in 2 ways, for example, as 12006225 + 8156736 = 3465^2 + 2856^2 .

It is not a de Polignac number, because 20162961 - 21 = 20162959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20162963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3975 + ... + 7491.

Almost surely, 220162961 is an apocalyptic number.

20162961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20162961 is a deficient number, since it is larger than the sum of its proper divisors (16332771).

20162961 is a wasteful number, since it uses less digits than its factorization.

20162961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20162961 is about 4490.3185855794. The cubic root of 20162961 is about 272.1770086662.

The spelling of 20162961 in words is "twenty million, one hundred sixty-two thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 3517 5733 10551 24619 31653 45721 73857 137163 172333 221571 320047 411489 516999 960141 1550997 2240329 2880423 6720987 20162961