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10079538 = 2371719743
BaseRepresentation
bin100110011100…
…110100110010
3200222002112020
4212130310302
510040021123
61000012310
7151450260
oct46346462
920862466
1010079538
1157649a7
123461096
13211bb31
1414a5430
15d417e3
hex99cd32

10079538 has 64 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 2564352.

The previous prime is 10079527. The next prime is 10079551. The reversal of 10079538 is 83597001.

10079538 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10079499 and 10079508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13195 + ... + 13937.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 210079538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

10079538 is an abundant number, since it is smaller than the sum of its proper divisors (15633102).

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

10079538 is a wasteful number, since it uses less digits than its factorization.

10079538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 10079538 is about 3174.8288142827. The cubic root of 10079538 is about 216.0131593492.

The spelling of 10079538 in words is "ten million, seventy-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 743 798 969 1486 1938 2229 2261 4458 4522 5201 6783 10402 12631 13566 14117 15603 25262 28234 31206 37893 42351 75786 84702 88417 98819 176834 197638 239989 265251 296457 479978 530502 592914 719967 1439934 1679923 3359846 5039769 10079538