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19907712 = 2732111571
BaseRepresentation
bin100101111110…
…0010010000000
31101110102020200
41023330102000
520044021322
61550405200
7331132656
oct113742200
941412220
1019907712
1110267a60
126800800
134180416
142902dd6
151b338ac
hex12fc480

19907712 has 96 divisors (see below), whose sum is σ = 62534160. Its totient is φ = 6028800.

The previous prime is 19907711. The next prime is 19907729. The reversal of 19907712 is 21770991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (19907711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11887 + ... + 13457.

Almost surely, 219907712 is an apocalyptic number.

19907712 is a gapful number since it is divisible by the number (12) 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 19907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31267080).

19907712 is an abundant number, since it is smaller than the sum of its proper divisors (42626448).

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

19907712 is a wasteful number, since it uses less digits than its factorization.

19907712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 19907712 is about 4461.8059124081. The cubic root of 19907712 is about 271.0236041948.

The spelling of 19907712 in words is "nineteen million, nine hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1571 1584 2112 3142 3168 4224 4713 6284 6336 9426 12568 12672 14139 17281 18852 25136 28278 34562 37704 50272 51843 56556 69124 75408 100544 103686 113112 138248 150816 155529 201088 207372 226224 276496 301632 311058 414744 452448 552992 603264 622116 829488 904896 1105984 1244232 1658976 1809792 2211968 2488464 3317952 4976928 6635904 9953856 19907712