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21312870 = 23519139269
BaseRepresentation
bin101000101001…
…1010101100110
31111002210202120
41101103111212
520424002440
62040450410
7346104435
oct121232546
944083676
1021312870
1111037747
127179a06
134552b87
142b8b11c
151d0edd0
hex1453566

21312870 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 5325696.

The previous prime is 21312833. The next prime is 21312871. The reversal of 21312870 is 7821312.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21312870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312871) 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, 79096 + ... + 79364.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 221312870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

21312870 is an abundant number, since it is smaller than the sum of its proper divisors (33119130).

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

21312870 is a wasteful number, since it uses less digits than its factorization.

21312870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 21312870 is about 4616.5864012276. The cubic root of 21312870 is about 277.2558033533.

The spelling of 21312870 in words is "twenty-one million, three hundred twelve thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 139 190 269 278 285 417 538 570 695 807 834 1345 1390 1614 2085 2641 2690 4035 4170 5111 5282 7923 8070 10222 13205 15333 15846 25555 26410 30666 37391 39615 51110 74782 76665 79230 112173 153330 186955 224346 373910 560865 710429 1121730 1420858 2131287 3552145 4262574 7104290 10656435 21312870