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14905140 = 2235417383
BaseRepresentation
bin111000110110…
…111100110100
31001001021000020
4320312330310
512303431030
61251245140
7240456135
oct70667464
931037006
1014905140
1184604a8
124ba97b0
13311b413
141d9dc8c
151496510
hexe36f34

14905140 has 96 divisors (see below), whose sum is σ = 43860096. Its totient is φ = 3778560.

The previous prime is 14905123. The next prime is 14905153. The reversal of 14905140 is 4150941.

It is a self number, because there is not a number n which added to its sum of digits gives 14905140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179539 + ... + 179621.

It is an arithmetic number, because the mean of its divisors is an integer number (456876).

Almost surely, 214905140 is an apocalyptic number.

14905140 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 14905140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930048).

14905140 is an abundant number, since it is smaller than the sum of its proper divisors (28954956).

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

14905140 is a wasteful number, since it uses less digits than its factorization.

14905140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 14905140 is about 3860.7175498863. The cubic root of 14905140 is about 246.1002301594.

The spelling of 14905140 in words is "fourteen million, nine hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 73 82 83 123 146 164 166 205 219 246 249 292 332 365 410 415 438 492 498 615 730 820 830 876 996 1095 1230 1245 1460 1660 2190 2460 2490 2993 3403 4380 4980 5986 6059 6806 8979 10209 11972 12118 13612 14965 17015 17958 18177 20418 24236 29930 30295 34030 35916 36354 40836 44895 51045 59860 60590 68060 72708 89790 90885 102090 121180 179580 181770 204180 248419 363540 496838 745257 993676 1242095 1490514 2484190 2981028 3726285 4968380 7452570 14905140