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10165380 = 22351937241
BaseRepresentation
bin100110110001…
…110010000100
3201010110021120
4212301302010
510100243010
61001513540
7152255451
oct46616204
921113246
1010165380
115813445
1234a28b0
13214bc24
1414c8828
15d5be70
hex9b1c84

10165380 has 96 divisors (see below), whose sum is σ = 30898560. Its totient is φ = 2488320.

The previous prime is 10165373. The next prime is 10165381. The reversal of 10165380 is 8356101.

It is a self number, because there is not a number n which added to its sum of digits gives 10165380.

It is not an unprimeable number, because it can be changed into a prime (10165381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42060 + ... + 42300.

It is an arithmetic number, because the mean of its divisors is an integer number (321860).

Almost surely, 210165380 is an apocalyptic number.

10165380 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 10165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449280).

10165380 is an abundant number, since it is smaller than the sum of its proper divisors (20733180).

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

10165380 is a wasteful number, since it uses less digits than its factorization.

10165380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10165380 is about 3188.3193064685. The cubic root of 10165380 is about 216.6246493145.

The spelling of 10165380 in words is "ten million, one hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 241 285 370 380 444 482 555 570 703 723 740 964 1110 1140 1205 1406 1446 2109 2220 2410 2812 2892 3515 3615 4218 4579 4820 7030 7230 8436 8917 9158 10545 13737 14060 14460 17834 18316 21090 22895 26751 27474 35668 42180 44585 45790 53502 54948 68685 89170 91580 107004 133755 137370 169423 178340 267510 274740 338846 508269 535020 677692 847115 1016538 1694230 2033076 2541345 3388460 5082690 10165380