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21940992 = 283289107
BaseRepresentation
bin101001110110…
…0101100000000
31112021201101100
41103230230000
521104102432
62102134400
7354331623
oct123545400
945251340
1021940992
1111426657
127421400
134712a48
142cb1dba
151dd607c
hex14ecb00

21940992 has 108 divisors (see below), whose sum is σ = 64569960. Its totient is φ = 7163904.

The previous prime is 21940981. The next prime is 21941021. The reversal of 21940992 is 29904912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205003 + ... + 205109.

It is an arithmetic number, because the mean of its divisors is an integer number (597870).

Almost surely, 221940992 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 21940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32284980).

21940992 is an abundant number, since it is smaller than the sum of its proper divisors (42628968).

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

21940992 is a wasteful number, since it uses less digits than its factorization.

21940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 21940992 is about 4684.1212623074. The cubic root of 21940992 is about 279.9531894535.

The spelling of 21940992 in words is "twenty-one million, nine hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 107 128 144 178 192 214 256 267 288 321 356 384 428 534 576 642 712 768 801 856 963 1068 1152 1284 1424 1602 1712 1926 2136 2304 2568 2848 3204 3424 3852 4272 5136 5696 6408 6848 7704 8544 9523 10272 11392 12816 13696 15408 17088 19046 20544 22784 25632 27392 28569 30816 34176 38092 41088 51264 57138 61632 68352 76184 82176 85707 102528 114276 123264 152368 171414 205056 228552 246528 304736 342828 457104 609472 685656 914208 1218944 1371312 1828416 2437888 2742624 3656832 5485248 7313664 10970496 21940992