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21741696 = 2736233
BaseRepresentation
bin101001011110…
…0000010000000
31111220121000000
41102330002000
521031213241
62054000000
7352541604
oct122740200
944817000
1021741696
11112aa949
127346000
134673112
142c5d504
151d96eb6
hex14bc080

21741696 has 112 divisors (see below), whose sum is σ = 65219310. Its totient is φ = 7216128.

The previous prime is 21741689. The next prime is 21741743. The reversal of 21741696 is 69614712.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 1166400 = 4536^2 + 1080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 21741696.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93196 + ... + 93428.

Almost surely, 221741696 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 21741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32609655).

21741696 is an abundant number, since it is smaller than the sum of its proper divisors (43477614).

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

21741696 is an frugal number, since it uses more digits than its factorization.

21741696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 21741696 is about 4662.7991593033. The cubic root of 21741696 is about 279.1029796751.

The spelling of 21741696 in words is "twenty-one million, seven hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 233 243 288 324 384 432 466 486 576 648 699 729 864 932 972 1152 1296 1398 1458 1728 1864 1944 2097 2592 2796 2916 3456 3728 3888 4194 5184 5592 5832 6291 7456 7776 8388 10368 11184 11664 12582 14912 15552 16776 18873 22368 23328 25164 29824 31104 33552 37746 44736 46656 50328 56619 67104 75492 89472 93312 100656 113238 134208 150984 169857 201312 226476 268416 301968 339714 402624 452952 603936 679428 805248 905904 1207872 1358856 1811808 2415744 2717712 3623616 5435424 7247232 10870848 21741696