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13078240 = 255711677
BaseRepresentation
bin110001111000…
…111011100000
3220121102222021
4301320323200
511322000430
61144151224
7216106660
oct61707340
926542867
1013078240
11742296a
124468514
13292ba06
141a461a0
15123507a
hexc78ee0

13078240 has 48 divisors (see below), whose sum is σ = 35314272. Its totient is φ = 4483584.

The previous prime is 13078231. The next prime is 13078243. The reversal of 13078240 is 4287031.

13078240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130782402 = 342080722995200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13078243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4719 + ... + 6958.

It is an arithmetic number, because the mean of its divisors is an integer number (735714).

Almost surely, 213078240 is an apocalyptic number.

13078240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13078240 is an abundant number, since it is smaller than the sum of its proper divisors (22236032).

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

13078240 is a wasteful number, since it uses less digits than its factorization.

13078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11699 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13078240 is about 3616.3849352634. The cubic root of 13078240 is about 235.6042395056.

The spelling of 13078240 in words is "thirteen million, seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 11677 23354 46708 58385 81739 93416 116770 163478 186832 233540 326956 373664 408695 467080 653912 817390 934160 1307824 1634780 1868320 2615648 3269560 6539120 13078240