Search a number
-
+
10634980 = 2255379127
BaseRepresentation
bin101000100100…
…011011100100
3202000022110011
4220210123210
510210304410
61015540004
7156252526
oct50443344
922008404
1010634980
116004244
12368a604
1322848b5
1415aba16
15e0118a
hexa246e4

10634980 has 48 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 4088448.

The previous prime is 10634971. The next prime is 10635011. The reversal of 10634980 is 8943601.

It is a super-2 number, since 2×106349802 = 226205599200800, which contains 22 as substring.

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, 83677 + ... + 83803.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 210634980 is an apocalyptic number.

10634980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634980 is an abundant number, since it is smaller than the sum of its proper divisors (12589340).

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

10634980 is a wasteful number, since it uses less digits than its factorization.

10634980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10634980 is about 3261.1317054053. The cubic root of 10634980 is about 219.9102940055.

The spelling of 10634980 in words is "ten million, six hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 53 79 106 127 158 212 254 265 316 395 508 530 635 790 1060 1270 1580 2540 4187 6731 8374 10033 13462 16748 20066 20935 26924 33655 40132 41870 50165 67310 83740 100330 134620 200660 531749 1063498 2126996 2658745 5317490 10634980