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14898972 = 22311231331
BaseRepresentation
bin111000110101…
…011100011100
31001000221112210
4320311130130
512303231342
61251200420
7240432144
oct70653434
931027483
1014898972
118456900
124ba6110
13311867a
141d9b924
15149479c
hexe3571c

14898972 has 72 divisors (see below), whose sum is σ = 39563776. Its totient is φ = 4356000.

The previous prime is 14898971. The next prime is 14898977. The reversal of 14898972 is 27989841.

Its product of digits (290304) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14898971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44847 + ... + 45177.

Almost surely, 214898972 is an apocalyptic number.

14898972 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 14898972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19781888).

14898972 is an abundant number, since it is smaller than the sum of its proper divisors (24664804).

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

14898972 is a wasteful number, since it uses less digits than its factorization.

14898972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 14898972 is about 3859.9186519926. The cubic root of 14898972 is about 246.0662786579.

The spelling of 14898972 in words is "fourteen million, eight hundred ninety-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 331 341 363 372 484 662 682 726 993 1023 1324 1364 1452 1986 2046 3641 3751 3972 4092 7282 7502 10261 10923 11253 14564 15004 20522 21846 22506 30783 40051 41044 43692 45012 61566 80102 112871 120153 123132 160204 225742 240306 338613 451484 480612 677226 1241581 1354452 2483162 3724743 4966324 7449486 14898972