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14134560 = 2535112677
BaseRepresentation
bin110101111010…
…110100100000
3222121002222020
4311322310200
512104301220
61222541440
7231066426
oct65726440
928532866
1014134560
117a84560
124897880
132c0b75b
141c3d116
151393040
hexd7ad20

14134560 has 96 divisors (see below), whose sum is σ = 48589632. Its totient is φ = 3425280.

The previous prime is 14134559. The next prime is 14134579. The reversal of 14134560 is 6543141.

14134560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14134560.

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, 3942 + ... + 6618.

It is an arithmetic number, because the mean of its divisors is an integer number (506142).

Almost surely, 214134560 is an apocalyptic number.

14134560 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 14134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294816).

14134560 is an abundant number, since it is smaller than the sum of its proper divisors (34455072).

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

14134560 is a wasteful number, since it uses less digits than its factorization.

14134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 14134560 is about 3759.5957229468. The cubic root of 14134560 is about 241.7839293518.

The spelling of 14134560 in words is "fourteen million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 2677 5280 5354 8031 10708 13385 16062 21416 26770 29447 32124 40155 42832 53540 58894 64248 80310 85664 88341 107080 117788 128496 147235 160620 176682 214160 235576 256992 294470 321240 353364 428320 441705 471152 588940 642480 706728 883410 942304 1177880 1284960 1413456 1766820 2355760 2826912 3533640 4711520 7067280 14134560