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19906944 = 273471103
BaseRepresentation
bin100101111110…
…0000110000000
31101110101012020
41023330012000
520044010234
61550401440
7331130511
oct113740600
941411166
1019906944
1110267422
126800280
13417cc75
142902a08
151b33549
hex12fc180

19906944 has 64 divisors (see below), whose sum is σ = 54051840. Its totient is φ = 6488576.

The previous prime is 19906933. The next prime is 19906951. The reversal of 19906944 is 44960991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 19906896 and 19906905.

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, 17497 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (844560).

Almost surely, 219906944 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 19906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025920).

19906944 is an abundant number, since it is smaller than the sum of its proper divisors (34144896).

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

19906944 is a wasteful number, since it uses less digits than its factorization.

19906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 19906944 is about 4461.7198477717. The cubic root of 19906944 is about 271.0201189658.

The spelling of 19906944 in words is "nineteen million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1103 1128 1504 2206 2256 3008 3309 4412 4512 6016 6618 8824 9024 13236 17648 18048 26472 35296 51841 52944 70592 103682 105888 141184 155523 207364 211776 311046 414728 423552 622092 829456 1244184 1658912 2488368 3317824 4976736 6635648 9953472 19906944