Search a number
-
+
30013656 = 23343127229
BaseRepresentation
bin111001001111…
…1100011011000
32002110211222220
41302133203120
530140414111
62551144040
7513053241
oct162374330
962424886
1030013656
1115a3a782
12a075020
1362ab27a
143db3cc8
15297ce06
hex1c9f8d8

30013656 has 64 divisors (see below), whose sum is σ = 77721600. Its totient is φ = 9652608.

The previous prime is 30013639. The next prime is 30013657. The reversal of 30013656 is 65631003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013657) 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, 130950 + ... + 131178.

It is an arithmetic number, because the mean of its divisors is an integer number (1214400).

Almost surely, 230013656 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 30013656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38860800).

30013656 is an abundant number, since it is smaller than the sum of its proper divisors (47707944).

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

30013656 is a wasteful number, since it uses less digits than its factorization.

30013656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 30013656 is about 5478.4720497599. The cubic root of 30013656 is about 310.7703905180.

Adding to 30013656 its reverse (65631003), we get a palindrome (95644659).

The spelling of 30013656 in words is "thirty million, thirteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 127 129 172 229 254 258 344 381 458 508 516 687 762 916 1016 1032 1374 1524 1832 2748 3048 5461 5496 9847 10922 16383 19694 21844 29083 29541 32766 39388 43688 58166 59082 65532 78776 87249 116332 118164 131064 174498 232664 236328 348996 697992 1250569 2501138 3751707 5002276 7503414 10004552 15006828 30013656