Search a number
-
+
30926560 = 255753521
BaseRepresentation
bin111010111111…
…0011011100000
32011012020021011
41311332123200
530404122220
63022510304
7523604620
oct165763340
964166234
1030926560
1116503645
12a435394
13653a952
144170880
152aad65a
hex1d7e6e0

30926560 has 96 divisors (see below), whose sum is σ = 85240512. Its totient is φ = 10383360.

The previous prime is 30926551. The next prime is 30926569. The reversal of 30926560 is 6562903.

It is an interprime number because it is at equal distance from previous prime (30926551) and next prime (30926569).

It is a super-2 number, since 2×309265602 = 1912904226867200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30926569) 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, 59100 + ... + 59620.

It is an arithmetic number, because the mean of its divisors is an integer number (887922).

Almost surely, 230926560 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 30926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42620256).

30926560 is an abundant number, since it is smaller than the sum of its proper divisors (54313952).

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

30926560 is a wasteful number, since it uses less digits than its factorization.

30926560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 30926560 is about 5561.1653455009. The cubic root of 30926560 is about 313.8898013507.

The spelling of 30926560 in words is "thirty million, nine hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 521 530 560 742 848 1042 1060 1120 1484 1696 1855 2084 2120 2605 2968 3647 3710 4168 4240 5210 5936 7294 7420 8336 8480 10420 11872 14588 14840 16672 18235 20840 27613 29176 29680 36470 41680 55226 58352 59360 72940 83360 110452 116704 138065 145880 193291 220904 276130 291760 386582 441808 552260 583520 773164 883616 966455 1104520 1546328 1932910 2209040 3092656 3865820 4418080 6185312 7731640 15463280 30926560