Search a number
-
+
30532960 = 255238297
BaseRepresentation
bin111010001111…
…0010101100000
32010110020100101
41310132111200
530304023320
63010232144
7520345243
oct164362540
963406311
1030532960
1116264957
12a285654
136430753
1440ab25a
152a31c0a
hex1d1e560

30532960 has 48 divisors (see below), whose sum is σ = 75279456. Its totient is φ = 11680768.

The previous prime is 30532951. The next prime is 30532973. The reversal of 30532960 is 6923503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469 + ... + 7828.

It is an arithmetic number, because the mean of its divisors is an integer number (1568322).

Almost surely, 230532960 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 30532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37639728).

30532960 is an abundant number, since it is smaller than the sum of its proper divisors (44746496).

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

30532960 is a wasteful number, since it uses less digits than its factorization.

30532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 30532960 is about 5525.6637610336. The cubic root of 30532960 is about 312.5524946480.

The spelling of 30532960 in words is "thirty million, five hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 8297 16594 33188 41485 66376 82970 132752 165940 190831 265504 331880 381662 663760 763324 954155 1327520 1526648 1908310 3053296 3816620 6106592 7633240 15266480 30532960