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10364838 = 2311971619
BaseRepresentation
bin100111100010…
…011110100110
3201111120212220
4213202132212
510123133323
61010053210
7154046121
oct47423646
921446786
1010364838
11593a290
12357a206
1321bb953
14153b3b8
15d9b0e3
hex9e27a6

10364838 has 32 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 3106560.

The previous prime is 10364831. The next prime is 10364843. The reversal of 10364838 is 83846301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10364799 and 10364808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 7211.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 210364838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10364838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10364838 is an abundant number, since it is smaller than the sum of its proper divisors (12496602).

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

10364838 is a wasteful number, since it uses less digits than its factorization.

10364838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 10364838 is about 3219.4468468978. The cubic root of 10364838 is about 218.0323016973.

The spelling of 10364838 in words is "ten million, three hundred sixty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 1067 1619 2134 3201 3238 4857 6402 9714 17809 35618 53427 106854 157043 314086 471129 942258 1727473 3454946 5182419 10364838