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15068680 = 23511231489
BaseRepresentation
bin111001011110…
…111000001000
31001100120100021
4321132320020
512324144210
61254550224
7242040004
oct71367010
931316307
1015068680
118562360
125068374
1331779a3
142003704
1514c9bda
hexe5ee08

15068680 has 64 divisors (see below), whose sum is σ = 38620800. Its totient is φ = 5237760.

The previous prime is 15068639. The next prime is 15068687. The reversal of 15068680 is 8686051.

It is a happy number.

15068680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15068687) 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, 9376 + ... + 10864.

It is an arithmetic number, because the mean of its divisors is an integer number (603450).

Almost surely, 215068680 is an apocalyptic number.

15068680 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 15068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310400).

15068680 is an abundant number, since it is smaller than the sum of its proper divisors (23552120).

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

15068680 is a wasteful number, since it uses less digits than its factorization.

15068680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 15068680 is about 3881.8397700060. The cubic root of 15068680 is about 246.9970331890.

The spelling of 15068680 in words is "fifteen million, sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 1489 2024 2530 2978 5060 5956 7445 10120 11912 14890 16379 29780 32758 34247 59560 65516 68494 81895 131032 136988 163790 171235 273976 327580 342470 376717 655160 684940 753434 1369880 1506868 1883585 3013736 3767170 7534340 15068680