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21320964 = 22327196173
BaseRepresentation
bin101000101010…
…1010100000100
31111010012212100
41101111110010
520424232324
62040552100
7346140150
oct121252404
944105770
1021320964
1111042835
127182630
134556772
142b90060
151d124c9
hex1455504

21320964 has 144 divisors (see below), whose sum is σ = 66801280. Its totient is φ = 5598720.

The previous prime is 21320947. The next prime is 21320969. The reversal of 21320964 is 46902312.

It is a super-4 number, since 4×213209644 (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (21320969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292032 + ... + 292104.

Almost surely, 221320964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33400640).

21320964 is an abundant number, since it is smaller than the sum of its proper divisors (45480316).

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

21320964 is a wasteful number, since it uses less digits than its factorization.

21320964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21320964 is about 4617.4629397538. The cubic root of 21320964 is about 277.2908967726.

The spelling of 21320964 in words is "twenty-one million, three hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 61 63 73 76 84 114 122 126 133 146 171 183 219 228 244 252 266 292 342 366 399 427 438 511 532 549 657 684 732 798 854 876 1022 1098 1159 1197 1281 1314 1387 1533 1596 1708 2044 2196 2318 2394 2562 2628 2774 3066 3477 3843 4161 4453 4599 4636 4788 5124 5548 6132 6954 7686 8113 8322 8906 9198 9709 10431 12483 13359 13908 15372 16226 16644 17812 18396 19418 20862 24339 24966 26718 29127 31171 32452 38836 40077 41724 48678 49932 53436 58254 62342 73017 80154 84607 87381 93513 97356 116508 124684 146034 160308 169214 174762 187026 253821 280539 292068 338428 349524 374052 507642 561078 592249 761463 1015284 1122156 1184498 1522926 1776747 2368996 3045852 3553494 5330241 7106988 10660482 21320964