Search a number
-
+
13471680 = 263514033
BaseRepresentation
bin110011011000…
…111111000000
3221100102200010
4303120333000
511422043210
61200424520
7222336015
oct63307700
927312603
1013471680
117671522
124618140
132a38b11
141b0970c
1512b1920
hexcd8fc0

13471680 has 56 divisors (see below), whose sum is σ = 42775632. Its totient is φ = 3592192.

The previous prime is 13471669. The next prime is 13471693. The reversal of 13471680 is 8617431.

It is a happy number.

13471680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6057 + ... + 7976.

Almost surely, 213471680 is an apocalyptic number.

13471680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13471680 is an abundant number, since it is smaller than the sum of its proper divisors (29303952).

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

13471680 is a wasteful number, since it uses less digits than its factorization.

13471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14053 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13471680 is about 3670.3787270526. The cubic root of 13471680 is about 237.9435404996.

The spelling of 13471680 in words is "thirteen million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 14033 28066 42099 56132 70165 84198 112264 140330 168396 210495 224528 280660 336792 420990 449056 561320 673584 841980 898112 1122640 1347168 1683960 2245280 2694336 3367920 4490560 6735840 13471680