Search a number
-
+
10513980 = 2232558411
BaseRepresentation
bin101000000110…
…111000111100
3201210011110200
4220012320330
510142421410
61013203500
7155240001
oct50067074
921704420
1010513980
115a31344
123630590
1322417b9
1415798a8
15dca3c0
hexa06e3c

10513980 has 36 divisors (see below), whose sum is σ = 31892952. Its totient is φ = 2803680.

The previous prime is 10513969. The next prime is 10514003. The reversal of 10513980 is 8931501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105139802 = 221087550880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29026 + ... + 29385.

Almost surely, 210513980 is an apocalyptic number.

10513980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513980 is an abundant number, since it is smaller than the sum of its proper divisors (21378972).

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

10513980 is a wasteful number, since it uses less digits than its factorization.

10513980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58426 (or 58421 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10513980 is about 3242.5267924876. The cubic root of 10513980 is about 219.0730975105.

The spelling of 10513980 in words is "ten million, five hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 58411 116822 175233 233644 292055 350466 525699 584110 700932 876165 1051398 1168220 1752330 2102796 2628495 3504660 5256990 10513980