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45960980 = 22513434111
BaseRepresentation
bin1010111101010…
…0111100010100
310012111001121112
42233110330110
543231222410
64321034152
71065443012
oct257247424
9105431545
1045960980
1123a4218a
1213485958
1396a2b60
1461658b2
15407d105
hex2bd4f14

45960980 has 48 divisors (see below), whose sum is σ = 106385664. Its totient is φ = 16571520.

The previous prime is 45960961. The next prime is 45960983. The reversal of 45960980 is 8906954.

It is a super-2 number, since 2×459609802 = 4224823365120800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45960983) 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, 9125 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (2216368).

Almost surely, 245960980 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 45960980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53192832).

45960980 is an abundant number, since it is smaller than the sum of its proper divisors (60424684).

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

45960980 is a wasteful number, since it uses less digits than its factorization.

45960980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 45960980 is about 6779.4527802766. The cubic root of 45960980 is about 358.2034464650.

The spelling of 45960980 in words is "forty-five million, nine hundred sixty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 4111 5590 8222 11180 16444 20555 41110 53443 82220 106886 176773 213772 267215 353546 534430 707092 883865 1068860 1767730 2298049 3535460 4596098 9192196 11490245 22980490 45960980