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113928906 = 237133153127
BaseRepresentation
bin1101100101001…
…10101011001010
321221101012002010
412302212223022
5213131211111
615145520350
72552244150
oct662465312
9257335063
10113928906
1159345523
12321a30b6
131a7ac770
14111b93d0
15a006aa6
hex6ca6aca

113928906 has 128 divisors (see below), whose sum is σ = 297271296. Its totient is φ = 28304640.

The previous prime is 113928901. The next prime is 113928923. The reversal of 113928906 is 609829311.

113928906 = 3682 + 3692 + ... + 7312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113928901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 897015 + ... + 897141.

It is an arithmetic number, because the mean of its divisors is an integer number (2322432).

Almost surely, 2113928906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113928906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148635648).

113928906 is an abundant number, since it is smaller than the sum of its proper divisors (183342390).

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

113928906 is a wasteful number, since it uses less digits than its factorization.

113928906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 113928906 is about 10673.7484512237. The cubic root of 113928906 is about 484.7799419726.

The spelling of 113928906 in words is "one hundred thirteen million, nine hundred twenty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 53 62 78 91 93 106 127 159 182 186 217 254 273 318 371 381 403 434 546 651 689 742 762 806 889 1113 1209 1302 1378 1643 1651 1778 2067 2226 2418 2667 2821 3286 3302 3937 4134 4823 4929 4953 5334 5642 6731 7874 8463 9646 9858 9906 11501 11557 11811 13462 14469 16926 20193 21359 23002 23114 23622 27559 28938 34503 34671 40386 42718 47117 51181 55118 64077 69006 69342 82677 87503 94234 102362 128154 141351 149513 153543 165354 175006 208661 262509 282702 299026 307086 358267 417322 448539 525018 612521 625983 716534 897078 1074801 1225042 1251966 1460627 1837563 2149602 2712593 2921254 3675126 4381881 5425186 8137779 8763762 16275558 18988151 37976302 56964453 113928906