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21871616 = 210133153
BaseRepresentation
bin101001101101…
…1110000000000
31112011012012212
41103123300000
521044342431
62100441252
7353622434
oct123336000
945135185
1021871616
1111389518
1273a9228
1346ba2b0
142c949c4
151dc072b
hex14dbc00

21871616 has 88 divisors (see below), whose sum is σ = 49521024. Its totient is φ = 9584640.

The previous prime is 21871609. The next prime is 21871631. The reversal of 21871616 is 61617812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412646 + ... + 412698.

Almost surely, 221871616 is an apocalyptic number.

21871616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760512).

21871616 is an abundant number, since it is smaller than the sum of its proper divisors (27649408).

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

21871616 is a wasteful number, since it uses less digits than its factorization.

21871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 21871616 is about 4676.7099546583. The cubic root of 21871616 is about 279.6578132780.

The spelling of 21871616 in words is "twenty-one million, eight hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 53 62 64 104 106 124 128 208 212 248 256 403 416 424 496 512 689 806 832 848 992 1024 1378 1612 1643 1664 1696 1984 2756 3224 3286 3328 3392 3968 5512 6448 6572 6656 6784 7936 11024 12896 13144 13312 13568 15872 21359 22048 25792 26288 27136 31744 42718 44096 51584 52576 54272 85436 88192 103168 105152 170872 176384 206336 210304 341744 352768 412672 420608 683488 705536 841216 1366976 1682432 2733952 5467904 10935808 21871616