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109052640 = 2532575731
BaseRepresentation
bin1101000000000…
…00001011100000
321121012110002200
412200000023200
5210404141030
614453213200
72462634504
oct640001340
9247173080
10109052640
1156614954
1230631200
13197930b8
14106aa304
159891d60
hex68002e0

109052640 has 72 divisors (see below), whose sum is σ = 372147048. Its totient is φ = 29080320.

The previous prime is 109052639. The next prime is 109052651. The reversal of 109052640 is 46250901.

109052640 is a `hidden beast` number, since 10 + 9 + 0 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36426 + ... + 39305.

It is an arithmetic number, because the mean of its divisors is an integer number (5168709).

Almost surely, 2109052640 is an apocalyptic number.

109052640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109052640 is an abundant number, since it is smaller than the sum of its proper divisors (263094408).

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

109052640 is a wasteful number, since it uses less digits than its factorization.

109052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75752 (or 75741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 109052640 is about 10442.8272033966. The cubic root of 109052640 is about 477.7625028869.

The spelling of 109052640 in words is "one hundred nine million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 75731 151462 227193 302924 378655 454386 605848 681579 757310 908772 1135965 1211696 1363158 1514620 1817544 2271930 2423392 2726316 3029240 3407895 3635088 4543860 5452632 6058480 6815790 7270176 9087720 10905264 12116960 13631580 18175440 21810528 27263160 36350880 54526320 109052640