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109959096 = 233131971789
BaseRepresentation
bin1101000110111…
…01011110111000
321122220111112010
412203131132320
5211122142341
614524445520
72503431312
oct643353670
9248814463
10109959096
1157083995
12309a98a0
1319a1c870
14108647b2
1599c0716
hex68dd7b8

109959096 has 64 divisors (see below), whose sum is σ = 297712800. Its totient is φ = 33643008.

The previous prime is 109959071. The next prime is 109959119. The reversal of 109959096 is 690959901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60570 + ... + 62358.

Almost surely, 2109959096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109959096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148856400).

109959096 is an abundant number, since it is smaller than the sum of its proper divisors (187753704).

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

109959096 is a wasteful number, since it uses less digits than its factorization.

109959096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 48.

The square root of 109959096 is about 10486.1382786992. The cubic root of 109959096 is about 479.0825879681.

The spelling of 109959096 in words is "one hundred nine million, nine hundred fifty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 197 312 394 591 788 1182 1576 1789 2364 2561 3578 4728 5122 5367 7156 7683 10244 10734 14312 15366 20488 21468 23257 30732 42936 46514 61464 69771 93028 139542 186056 279084 352433 558168 704866 1057299 1409732 2114598 2819464 4229196 4581629 8458392 9163258 13744887 18326516 27489774 36653032 54979548 109959096