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10495980 = 22345111931
BaseRepresentation
bin101000000010…
…011111101100
3201202020210000
4220002133230
510141332410
61012544300
7155133345
oct50023754
921666700
1010495980
115a19870
123622090
132236551
1415730cc
15dc4dc0
hexa027ec

10495980 has 240 divisors, whose sum is σ = 39029760. Its totient is φ = 2332800.

The previous prime is 10495973. The next prime is 10495997. The reversal of 10495980 is 8959401.

It is a super-2 number, since 2×104959802 = 220331192320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 338565 + ... + 338595.

It is an arithmetic number, because the mean of its divisors is an integer number (162624).

Almost surely, 210495980 is an apocalyptic number.

10495980 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 10495980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

10495980 is an abundant number, since it is smaller than the sum of its proper divisors (28533780).

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

10495980 is a wasteful number, since it uses less digits than its factorization.

10495980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10495980 is about 3239.7499903542. The cubic root of 10495980 is about 218.9480079242.

The spelling of 10495980 in words is "ten million, four hundred ninety-five thousand, nine hundred eighty".