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109702944 = 2533139767
BaseRepresentation
bin1101000100111…
…10111100100000
321122102111011000
412202132330200
5211040443234
614515152000
72501313441
oct642367440
9248374130
10109702944
1156a1949a
12308a5600
13199600b0
14107d92c8
15996e899
hex689ef20

109702944 has 96 divisors (see below), whose sum is σ = 344615040. Its totient is φ = 33751296.

The previous prime is 109702897. The next prime is 109702963. The reversal of 109702944 is 449207901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109702899 and 109702908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6349 + ... + 16115.

It is an arithmetic number, because the mean of its divisors is an integer number (3589740).

Almost surely, 2109702944 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 109702944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172307520).

109702944 is an abundant number, since it is smaller than the sum of its proper divisors (234912096).

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

109702944 is a wasteful number, since it uses less digits than its factorization.

109702944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9799 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109702944 is about 10473.9173187495. The cubic root of 109702944 is about 478.7102877753.

The spelling of 109702944 in words is "one hundred nine million, seven hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 9767 11232 19534 29301 39068 58602 78136 87903 117204 126971 156272 175806 234408 253942 263709 312544 351612 380913 468816 507884 527418 703224 761826 937632 1015768 1054836 1142739 1406448 1523652 2031536 2109672 2285478 2812896 3047304 3428217 4063072 4219344 4570956 6094608 6856434 8438688 9141912 12189216 13712868 18283824 27425736 36567648 54851472 109702944