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21713934 = 231132719
BaseRepresentation
bin101001011010…
…1010000001110
31111212011220210
41102311100032
521024321214
62053223250
7352364634
oct122652016
944764823
1021713934
1111291000
127331b26
1346635a8
142c53354
151d8db59
hex14b540e

21713934 has 32 divisors (see below), whose sum is σ = 47784960. Its totient is φ = 6577560.

The previous prime is 21713929. The next prime is 21713957. The reversal of 21713934 is 43931712.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 6627 + ... + 9345.

It is an arithmetic number, because the mean of its divisors is an integer number (1493280).

Almost surely, 221713934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21713934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892480).

21713934 is an abundant number, since it is smaller than the sum of its proper divisors (26071026).

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

21713934 is a wasteful number, since it uses less digits than its factorization.

21713934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2735 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 21713934 is about 4659.8212412066. The cubic root of 21713934 is about 278.9841334228.

It can be divided in two parts, 2171 and 3934, that added together give a triangular number (6105 = T110).

The spelling of 21713934 in words is "twenty-one million, seven hundred thirteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 2719 3993 5438 7986 8157 16314 29909 59818 89727 179454 328999 657998 986997 1973994 3618989 7237978 10856967 21713934