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10799640 = 23325131229
BaseRepresentation
bin101001001100…
…101000011000
3202022200022200
4221030220120
510231042030
61023250200
7160536555
oct51145030
922280280
1010799640
116106a25
123749960
132311827
141611a2c
15e34d60
hexa4ca18

10799640 has 96 divisors (see below), whose sum is σ = 35521200. Its totient is φ = 2845440.

The previous prime is 10799603. The next prime is 10799683. The reversal of 10799640 is 4699701.

10799640 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10799595 and 10799604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47046 + ... + 47274.

Almost surely, 210799640 is an apocalyptic number.

10799640 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 10799640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760600).

10799640 is an abundant number, since it is smaller than the sum of its proper divisors (24721560).

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

10799640 is a wasteful number, since it uses less digits than its factorization.

10799640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10799640 is about 3286.2805723188. The cubic root of 10799640 is about 221.0394338701.

The spelling of 10799640 in words is "ten million, seven hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 229 262 360 393 458 524 655 687 786 916 1048 1145 1179 1310 1374 1572 1832 1965 2061 2290 2358 2620 2748 3144 3435 3930 4122 4580 4716 5240 5496 5895 6870 7860 8244 9160 9432 10305 11790 13740 15720 16488 20610 23580 27480 29999 41220 47160 59998 82440 89997 119996 149995 179994 239992 269991 299990 359988 449985 539982 599980 719976 899970 1079964 1199960 1349955 1799940 2159928 2699910 3599880 5399820 10799640