[go: up one dir, main page]

Search a number
-
+
30532980 = 2235736971
BaseRepresentation
bin111010001111…
…0010101110100
32010110020101010
41310132111310
530304023410
63010232220
7520345302
oct164362564
963406333
1030532980
1116264975
12a285670
13643076a
1440ab272
152a31c20
hex1d1e574

30532980 has 48 divisors (see below), whose sum is σ = 86675904. Its totient is φ = 8029440.

The previous prime is 30532979. The next prime is 30532991. The reversal of 30532980 is 8923503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895 + ... + 7865.

It is an arithmetic number, because the mean of its divisors is an integer number (1805748).

Almost surely, 230532980 is an apocalyptic number.

30532980 is a gapful number since it is divisible by the number (30) 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 30532980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43337952).

30532980 is an abundant number, since it is smaller than the sum of its proper divisors (56142924).

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

30532980 is a wasteful number, since it uses less digits than its factorization.

30532980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30532980 is about 5525.6655707706. The cubic root of 30532980 is about 312.5525628917.

The spelling of 30532980 in words is "thirty million, five hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 6971 13942 20913 27884 34855 41826 69710 83652 104565 139420 209130 418260 508883 1017766 1526649 2035532 2544415 3053298 5088830 6106596 7633245 10177660 15266490 30532980