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10549980 = 2233572791
BaseRepresentation
bin101000001111…
…101011011100
3201211222212000
4220033223130
510200044410
61014042300
7155446650
oct50175334
921758760
1010549980
115a563a1
123649390
132254cbc
141588a60
15dd5dc0
hexa0fadc

10549980 has 96 divisors (see below), whose sum is σ = 37524480. Its totient is φ = 2410560.

The previous prime is 10549969. The next prime is 10549991. The reversal of 10549980 is 8994501.

It is an interprime number because it is at equal distance from previous prime (10549969) and next prime (10549991).

It is a super-2 number, since 2×105499802 = 222604156000800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (390880).

Almost surely, 210549980 is an apocalyptic number.

10549980 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 10549980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18762240).

10549980 is an abundant number, since it is smaller than the sum of its proper divisors (26974500).

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

10549980 is a wasteful number, since it uses less digits than its factorization.

10549980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2808 counting only the distinct ones).

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

The square root of 10549980 is about 3248.0732750355. The cubic root of 10549980 is about 219.3228490250.

The spelling of 10549980 in words is "ten million, five hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 2791 3780 5582 8373 11164 13955 16746 19537 25119 27910 33492 39074 41865 50238 55820 58611 75357 78148 83730 97685 100476 117222 125595 150714 167460 175833 195370 234444 251190 293055 301428 351666 376785 390740 502380 527499 586110 703332 753570 879165 1054998 1172220 1507140 1758330 2109996 2637495 3516660 5274990 10549980