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21376752 = 2431722367
BaseRepresentation
bin101000110001…
…0111011110000
31111020001101120
41101202323300
520433024002
62042102240
7346461615
oct121427360
944201346
1021376752
1111080741
1271aa980
134575c87
142ba650c
151d23cbc
hex1462ef0

21376752 has 120 divisors (see below), whose sum is σ = 62126976. Its totient is φ = 6319104.

The previous prime is 21376739. The next prime is 21376757. The reversal of 21376752 is 25767312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21376757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319023 + ... + 319089.

Almost surely, 221376752 is an apocalyptic number.

It is a pronic number, being equal to 4623×4624.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21376752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31063488).

21376752 is an abundant number, since it is smaller than the sum of its proper divisors (40750224).

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

21376752 is a wasteful number, since it uses less digits than its factorization.

21376752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 21376752 is about 4623.4999729642. The cubic root of 21376752 is about 277.5325373746.

The spelling of 21376752 in words is "twenty-one million, three hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 67 68 69 92 102 134 136 138 184 201 204 268 272 276 289 368 391 402 408 536 552 578 782 804 816 867 1072 1104 1139 1156 1173 1541 1564 1608 1734 2278 2312 2346 3082 3128 3216 3417 3468 4556 4623 4624 4692 6164 6256 6647 6834 6936 9112 9246 9384 12328 13294 13668 13872 18224 18492 18768 19363 19941 24656 26197 26588 27336 36984 38726 39882 52394 53176 54672 58089 73968 77452 78591 79764 104788 106352 116178 154904 157182 159528 209576 232356 309808 314364 319056 419152 445349 464712 628728 890698 929424 1257456 1336047 1781396 2672094 3562792 5344188 7125584 10688376 21376752