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10076988 = 22317471051
BaseRepresentation
bin100110011100…
…001100111100
3200221222000210
4212130030330
510034430423
6555552420
7151436655
oct46341474
920858023
1010076988
115762a99
12345b710
13211a91c
1414a452c
15d40b93
hex99c33c

10076988 has 48 divisors (see below), whose sum is σ = 25449984. Its totient is φ = 3091200.

The previous prime is 10076951. The next prime is 10077031. The reversal of 10076988 is 88967001.

10076988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9063 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (530208).

Almost surely, 210076988 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 10076988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724992).

10076988 is an abundant number, since it is smaller than the sum of its proper divisors (15372996).

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

10076988 is a wasteful number, since it uses less digits than its factorization.

10076988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 10076988 is about 3174.4271924239. The cubic root of 10076988 is about 215.9949415825.

The spelling of 10076988 in words is "ten million, seventy-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1051 1598 2102 2397 3153 3196 4204 4794 6306 9588 12612 17867 35734 49397 53601 71468 98794 107202 148191 197588 214404 296382 592764 839749 1679498 2519247 3358996 5038494 10076988