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10076990 = 2571123569
BaseRepresentation
bin100110011100…
…001100111110
3200221222000212
4212130030332
510034430430
6555552422
7151436660
oct46341476
920858025
1010076990
115762aa0
12345b712
13211a921
1414a4530
15d40b95
hex99c33e

10076990 has 64 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 2999040.

The previous prime is 10076951. The next prime is 10077031. The reversal of 10076990 is 9967001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17426 + ... + 17994.

It is an arithmetic number, because the mean of its divisors is an integer number (369360).

Almost surely, 210076990 is an apocalyptic number.

10076990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10076990 is an abundant number, since it is smaller than the sum of its proper divisors (13562050).

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

10076990 is a wasteful number, since it uses less digits than its factorization.

10076990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 10076990 is about 3174.4275074413. The cubic root of 10076990 is about 215.9949558721.

It can be divided in two parts, 1007 and 6990, that added together give a palindrome (7997).

The spelling of 10076990 in words is "ten million, seventy-six thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 23 35 46 55 70 77 110 115 154 161 230 253 322 385 506 569 770 805 1138 1265 1610 1771 2530 2845 3542 3983 5690 6259 7966 8855 12518 13087 17710 19915 26174 31295 39830 43813 62590 65435 87626 91609 130870 143957 183218 219065 287914 438130 458045 719785 916090 1007699 1439570 2015398 5038495 10076990