Search a number
-
+
14870960 = 2451379181
BaseRepresentation
bin111000101110…
…100110110000
31000222112010022
4320232212300
512301332320
61250423012
7240254366
oct70564660
930875108
1014870960
118437855
124b91a68
1331089b0
141d91636
15148b325
hexe2e9b0

14870960 has 80 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 5391360.

The previous prime is 14870957. The next prime is 14870969. The reversal of 14870960 is 6907841.

14870960 is digitally balanced in base 2, because in such base 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 (80).

It is a super-2 number, since 2×148709602 = 442290902643200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14870960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14870969) 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, 82070 + ... + 82250.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 214870960 is an apocalyptic number.

14870960 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 14870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

14870960 is an abundant number, since it is smaller than the sum of its proper divisors (23043280).

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

14870960 is a wasteful number, since it uses less digits than its factorization.

14870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 14870960 is about 3856.2883709598. The cubic root of 14870960 is about 245.9119697363.

The spelling of 14870960 in words is "fourteen million, eight hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 181 208 260 316 362 395 520 632 724 790 905 1027 1040 1264 1448 1580 1810 2054 2353 2896 3160 3620 4108 4706 5135 6320 7240 8216 9412 10270 11765 14299 14480 16432 18824 20540 23530 28598 37648 41080 47060 57196 71495 82160 94120 114392 142990 185887 188240 228784 285980 371774 571960 743548 929435 1143920 1487096 1858870 2974192 3717740 7435480 14870960