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10496980 = 2251347859
BaseRepresentation
bin101000000010…
…101111010100
3201202022011001
4220002233110
510141400410
61012553044
7155136304
oct50025724
921668131
1010496980
115a1a59a
123622784
132236b40
141573604
15dc533a
hexa02bd4

10496980 has 48 divisors (see below), whose sum is σ = 24272640. Its totient is φ = 3788928.

The previous prime is 10496971. The next prime is 10496999. The reversal of 10496980 is 8969401.

It is a super-2 number, since 2×104969802 = 220373178240800, which contains 22 as substring.

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, 11791 + ... + 12649.

It is an arithmetic number, because the mean of its divisors is an integer number (505680).

Almost surely, 210496980 is an apocalyptic number.

10496980 is a gapful number since it is divisible by the number (10) 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 10496980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136320).

10496980 is an abundant number, since it is smaller than the sum of its proper divisors (13775660).

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

10496980 is a wasteful number, since it uses less digits than its factorization.

10496980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 10496980 is about 3239.9043195749. The cubic root of 10496980 is about 218.9549610959.

It can be divided in two parts, 10496 and 980, that added together give a triangular number (11476 = T151).

The spelling of 10496980 in words is "ten million, four hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 859 940 1222 1718 2444 3055 3436 4295 6110 8590 11167 12220 17180 22334 40373 44668 55835 80746 111670 161492 201865 223340 403730 524849 807460 1049698 2099396 2624245 5248490 10496980