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10087950 = 2352109617
BaseRepresentation
bin100110011110…
…111000001110
3200222112001210
4212132320032
510040303300
61000115250
7151513635
oct46367016
920875053
1010087950
115770254
123465b26
132122902
1414a851c
15d44050
hex99ee0e

10087950 has 48 divisors (see below), whose sum is σ = 25288560. Its totient is φ = 2661120.

The previous prime is 10087933. The next prime is 10087963. The reversal of 10087950 is 5978001.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 16042 + ... + 16658.

It is an arithmetic number, because the mean of its divisors is an integer number (526845).

Almost surely, 210087950 is an apocalyptic number.

10087950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10087950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644280).

10087950 is an abundant number, since it is smaller than the sum of its proper divisors (15200610).

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

10087950 is a wasteful number, since it uses less digits than its factorization.

10087950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 10087950 is about 3176.1533338301. The cubic root of 10087950 is about 216.0732347692.

The spelling of 10087950 in words is "ten million, eighty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 545 617 654 1090 1234 1635 1851 2725 3085 3270 3702 5450 6170 8175 9255 15425 16350 18510 30850 46275 67253 92550 134506 201759 336265 403518 672530 1008795 1681325 2017590 3362650 5043975 10087950