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109083104 = 25131937373
BaseRepresentation
bin1101000000001…
…11100111100000
321121020222212222
412200013213200
5210411124404
614454010212
72463122354
oct640074740
9247228788
10109083104
1156635829
1230646968
13197a3c20
14106b7464
15989adbe
hex68079e0

109083104 has 96 divisors (see below), whose sum is σ = 250699680. Its totient is φ = 46282752.

The previous prime is 109083103. The next prime is 109083109. The reversal of 109083104 is 401380901.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109083103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292262 + ... + 292634.

It is an arithmetic number, because the mean of its divisors is an integer number (2611455).

Almost surely, 2109083104 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 109083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349840).

109083104 is an abundant number, since it is smaller than the sum of its proper divisors (141616576).

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

109083104 is a wasteful number, since it uses less digits than its factorization.

109083104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 109083104 is about 10444.2857103777. The cubic root of 109083104 is about 477.8069866084.

The spelling of 109083104 in words is "one hundred nine million, eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 74 76 104 148 152 208 247 296 304 373 416 481 494 592 608 703 746 962 988 1184 1406 1492 1924 1976 2812 2984 3848 3952 4849 5624 5968 7087 7696 7904 9139 9698 11248 11936 13801 14174 15392 18278 19396 22496 27602 28348 36556 38792 55204 56696 73112 77584 92131 110408 113392 146224 155168 179413 184262 220816 226784 262219 292448 358826 368524 441632 524438 717652 737048 1048876 1435304 1474096 2097752 2870608 2948192 3408847 4195504 5741216 6817694 8391008 13635388 27270776 54541552 109083104