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16872720 = 2435229307
BaseRepresentation
bin100000001011…
…1010100010000
31011202020000120
41000113110100
513304411340
61401350240
7263262414
oct100272420
934666016
1016872720
1195847a7
125798380
133659b77
142352d44
1517344d0
hex1017510

16872720 has 80 divisors (see below), whose sum is σ = 52704960. Its totient is φ = 4465152.

The previous prime is 16872697. The next prime is 16872763. The reversal of 16872720 is 2727861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54807 + ... + 55113.

It is an arithmetic number, because the mean of its divisors is an integer number (658812).

Almost surely, 216872720 is an apocalyptic number.

16872720 is a gapful number since it is divisible by the number (10) 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 16872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352480).

16872720 is an abundant number, since it is smaller than the sum of its proper divisors (35832240).

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

16872720 is a wasteful number, since it uses less digits than its factorization.

16872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 16872720 is about 4107.6416591519. The cubic root of 16872720 is about 256.4848396437.

The spelling of 16872720 in words is "sixteen million, eight hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 307 458 614 687 916 921 1145 1228 1374 1535 1832 1842 2290 2456 2748 3070 3435 3664 3684 4580 4605 4912 5496 6140 6870 7368 9160 9210 10992 12280 13740 14736 18320 18420 24560 27480 36840 54960 70303 73680 140606 210909 281212 351515 421818 562424 703030 843636 1054545 1124848 1406060 1687272 2109090 2812120 3374544 4218180 5624240 8436360 16872720