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10390920 = 2335131661
BaseRepresentation
bin100111101000…
…110110001000
3201112220122220
4213220312020
510130002140
61010414040
7154215141
oct47506610
921486586
1010390920
115957941
123591320
1321ca797
141546ac8
15da3bd0
hex9e8d88

10390920 has 64 divisors (see below), whose sum is σ = 31458240. Its totient is φ = 2745600.

The previous prime is 10390889. The next prime is 10390937. The reversal of 10390920 is 2909301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 15390 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (491535).

Almost surely, 210390920 is an apocalyptic number.

10390920 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 10390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729120).

10390920 is an abundant number, since it is smaller than the sum of its proper divisors (21067320).

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

10390920 is a wasteful number, since it uses less digits than its factorization.

10390920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10390920 is about 3223.4949976695. The cubic root of 10390920 is about 218.2150334533.

The spelling of 10390920 in words is "ten million, three hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 661 786 1048 1310 1322 1572 1965 1983 2620 2644 3144 3305 3930 3966 5240 5288 6610 7860 7932 9915 13220 15720 15864 19830 26440 39660 79320 86591 173182 259773 346364 432955 519546 692728 865910 1039092 1298865 1731820 2078184 2597730 3463640 5195460 10390920