[go: up one dir, main page]

Search a number
-
+
14497920 = 27335839
BaseRepresentation
bin110111010011…
…100010000000
31000021120102000
4313103202000
512202413140
61234424000
7234141663
oct67234200
930246360
1014497920
118202558
124a32000
133007c68
141cd56da
151415a30
hexdd3880

14497920 has 128 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 3861504.

The previous prime is 14497913. The next prime is 14497921. The reversal of 14497920 is 2979441.

It is a tau number, because it is divible by the number of its divisors (128).

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 (14497921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16861 + ... + 17699.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 214497920 is an apocalyptic number.

14497920 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 14497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

14497920 is an abundant number, since it is smaller than the sum of its proper divisors (36910080).

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

14497920 is an equidigital number, since it uses as much as digits as its factorization.

14497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14497920 is about 3807.6134257563. The cubic root of 14497920 is about 243.8382875445.

The spelling of 14497920 in words is "fourteen million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 839 864 960 1080 1152 1440 1678 1728 1920 2160 2517 2880 3356 3456 4195 4320 5034 5760 6712 7551 8390 8640 10068 12585 13424 15102 16780 17280 20136 22653 25170 26848 30204 33560 37755 40272 45306 50340 53696 60408 67120 75510 80544 90612 100680 107392 113265 120816 134240 151020 161088 181224 201360 226530 241632 268480 302040 322176 362448 402720 453060 483264 536960 604080 724896 805440 906120 966528 1208160 1449792 1610880 1812240 2416320 2899584 3624480 4832640 7248960 14497920