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10648890 = 2325716903
BaseRepresentation
bin101000100111…
…110100111010
3202001000112100
4220213310322
510211231030
61020124230
7156341220
oct50476472
922030470
1010648890
11601373a
123696676
13228b025
1415b2b10
15e05360
hexa27d3a

10648890 has 48 divisors (see below), whose sum is σ = 31644288. Its totient is φ = 2433888.

The previous prime is 10648877. The next prime is 10648901. The reversal of 10648890 is 9884601.

It is a happy number.

10648890 is a `hidden beast` number, since 1 + 0 + 648 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×106488902 = 226797716464200, 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 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 23 ways as a sum of consecutive naturals, for example, 7822 + ... + 9081.

It is an arithmetic number, because the mean of its divisors is an integer number (659256).

Almost surely, 210648890 is an apocalyptic number.

10648890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10648890 is an abundant number, since it is smaller than the sum of its proper divisors (20995398).

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

10648890 is a wasteful number, since it uses less digits than its factorization.

10648890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10648890 is about 3263.2637037175. The cubic root of 10648890 is about 220.0061293058.

The spelling of 10648890 in words is "ten million, six hundred forty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 16903 33806 50709 84515 101418 118321 152127 169030 236642 253545 304254 354963 507090 591605 709926 760635 1064889 1183210 1521270 1774815 2129778 3549630 5324445 10648890