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109165280 = 2557293361
BaseRepresentation
bin1101000000110…
…11101011100000
321121102011121112
412200123223200
5210421242110
614455442452
72463614060
oct640335340
9247364545
10109165280
1156691544
1230686428
1319802453
14106d93a0
1598b5405
hex681bae0

109165280 has 96 divisors (see below), whose sum is σ = 305000640. Its totient is φ = 36126720.

The previous prime is 109165237. The next prime is 109165283. The reversal of 109165280 is 82561901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109165283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30800 + ... + 34160.

It is an arithmetic number, because the mean of its divisors is an integer number (3177090).

Almost surely, 2109165280 is an apocalyptic number.

109165280 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 109165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500320).

109165280 is an abundant number, since it is smaller than the sum of its proper divisors (195835360).

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

109165280 is a wasteful number, since it uses less digits than its factorization.

109165280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 109165280 is about 10448.2189869853. The cubic root of 109165280 is about 477.9269392253.

The spelling of 109165280 in words is "one hundred nine million, one hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 3361 4060 4640 6496 6722 8120 13444 16240 16805 23527 26888 32480 33610 47054 53776 67220 94108 97469 107552 117635 134440 188216 194938 235270 268880 376432 389876 470540 487345 537760 682283 752864 779752 941080 974690 1364566 1559504 1882160 1949380 2729132 3119008 3411415 3764320 3898760 5458264 6822830 7797520 10916528 13645660 15595040 21833056 27291320 54582640 109165280