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19666944 = 211321197
BaseRepresentation
bin100101100000…
…1100000000000
31101000011222100
41023001200000
520013320234
61541310400
7326111013
oct113014000
941004870
1019666944
1110113080
126705400
1340c795b
14287d37a
151ad7399
hex12c1800

19666944 has 144 divisors (see below), whose sum is σ = 62604360. Its totient is φ = 5898240.

The previous prime is 19666939. The next prime is 19666963. The reversal of 19666944 is 44966691.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19666944.

It is a congruent number.

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, 202704 + ... + 202800.

Almost surely, 219666944 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 19666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302180).

19666944 is an abundant number, since it is smaller than the sum of its proper divisors (42937416).

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

19666944 is a wasteful number, since it uses less digits than its factorization.

19666944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 19666944 is about 4434.7428335812. The cubic root of 19666944 is about 269.9265643907.

The spelling of 19666944 in words is "nineteen million, six hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 97 99 128 132 144 176 192 194 198 256 264 288 291 352 384 388 396 512 528 576 582 704 768 776 792 873 1024 1056 1067 1152 1164 1408 1536 1552 1584 1746 2048 2112 2134 2304 2328 2816 3072 3104 3168 3201 3492 4224 4268 4608 4656 5632 6144 6208 6336 6402 6984 8448 8536 9216 9312 9603 11264 12416 12672 12804 13968 16896 17072 18432 18624 19206 22528 24832 25344 25608 27936 33792 34144 37248 38412 49664 50688 51216 55872 67584 68288 74496 76824 99328 101376 102432 111744 136576 148992 153648 198656 202752 204864 223488 273152 297984 307296 409728 446976 546304 595968 614592 819456 893952 1092608 1229184 1638912 1787904 2185216 2458368 3277824 4916736 6555648 9833472 19666944