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10165000 = 235419107
BaseRepresentation
bin100110110001…
…101100001000
3201010102202111
4212301230020
510100240000
61001512104
7152254366
oct46615410
921112674
1010165000
11581312a
1234a2634
13214b9c1
1414c8636
15d5bcba
hex9b1b08

10165000 has 80 divisors (see below), whose sum is σ = 25304400. Its totient is φ = 3816000.

The previous prime is 10164991. The next prime is 10165021. The reversal of 10165000 is 56101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94947 + ... + 95053.

It is an arithmetic number, because the mean of its divisors is an integer number (316305).

Almost surely, 210165000 is an apocalyptic number.

10165000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652200).

10165000 is an abundant number, since it is smaller than the sum of its proper divisors (15139400).

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

10165000 is a wasteful number, since it uses less digits than its factorization.

10165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10165000 is about 3188.2597133860. The cubic root of 10165000 is about 216.6219500092.

The spelling of 10165000 in words is "ten million, one hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 107 125 152 190 200 214 250 380 428 475 500 535 625 760 856 950 1000 1070 1250 1900 2033 2140 2375 2500 2675 3800 4066 4280 4750 5000 5350 8132 9500 10165 10700 11875 13375 16264 19000 20330 21400 23750 26750 40660 47500 50825 53500 66875 81320 95000 101650 107000 133750 203300 254125 267500 406600 508250 535000 1016500 1270625 2033000 2541250 5082500 10165000