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10379796 = 2237294261
BaseRepresentation
bin100111100110…
…001000010100
3201112100101220
4213212020110
510124123141
61010250340
7154140540
oct47461024
921470356
1010379796
11594a549
1235869b0
1321c56bb
141542a20
15da0766
hex9e6214

10379796 has 48 divisors (see below), whose sum is σ = 28640640. Its totient is φ = 2862720.

The previous prime is 10379777. The next prime is 10379839. The reversal of 10379796 is 69797301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306 + ... + 4566.

It is an arithmetic number, because the mean of its divisors is an integer number (596680).

Almost surely, 210379796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10379796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320320).

10379796 is an abundant number, since it is smaller than the sum of its proper divisors (18260844).

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

10379796 is a wasteful number, since it uses less digits than its factorization.

10379796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 10379796 is about 3221.7690792482. The cubic root of 10379796 is about 218.1371356100.

It can be divided in two parts, 10379 and 796, that added together give a triangular number (11175 = T149).

The spelling of 10379796 in words is "ten million, three hundred seventy-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 4261 8522 12783 17044 25566 29827 51132 59654 89481 119308 123569 178962 247138 357924 370707 494276 741414 864983 1482828 1729966 2594949 3459932 5189898 10379796