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13072488 = 23311132293
BaseRepresentation
bin110001110111…
…100001101000
3220121011002020
4301313201220
511321304423
61144104440
7216054132
oct61674150
926534066
1013072488
117419610
124465120
132929200
141a44052
1512334e3
hexc77868

13072488 has 96 divisors (see below), whose sum is σ = 38737440. Its totient is φ = 3644160.

The previous prime is 13072457. The next prime is 13072517. The reversal of 13072488 is 88427031.

13072488 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 Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44470 + ... + 44762.

It is an arithmetic number, because the mean of its divisors is an integer number (403515).

Almost surely, 213072488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13072488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368720).

13072488 is an abundant number, since it is smaller than the sum of its proper divisors (25664952).

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

13072488 is a wasteful number, since it uses less digits than its factorization.

13072488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13072488 is about 3615.5895784782. The cubic root of 13072488 is about 235.5696937178.

The spelling of 13072488 in words is "thirteen million, seventy-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 293 312 338 429 507 572 586 676 858 879 1014 1144 1172 1352 1716 1758 1859 2028 2344 3223 3432 3516 3718 3809 4056 5577 6446 7032 7436 7618 9669 11154 11427 12892 14872 15236 19338 22308 22854 25784 30472 38676 41899 44616 45708 49517 77352 83798 91416 99034 125697 148551 167596 198068 251394 297102 335192 396136 502788 544687 594204 1005576 1089374 1188408 1634061 2178748 3268122 4357496 6536244 13072488