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113233140 = 22355231013
BaseRepresentation
bin1101011111111…
…00110011110100
321220001211200000
412233330303310
5212441430030
615122551300
72543315526
oct657746364
9256054600
10113233140
1158a0a809
1231b08530
131a5c7b77
1411077a16
159e1a860
hex6bfccf4

113233140 has 144 divisors (see below), whose sum is σ = 372048768. Its totient is φ = 28854144.

The previous prime is 113233123. The next prime is 113233151. The reversal of 113233140 is 41332311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111274 + ... + 112286.

It is an arithmetic number, because the mean of its divisors is an integer number (2583672).

Almost surely, 2113233140 is an apocalyptic number.

113233140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186024384).

113233140 is an abundant number, since it is smaller than the sum of its proper divisors (258815628).

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

113233140 is a wasteful number, since it uses less digits than its factorization.

113233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113233140 is about 10641.1061455095. The cubic root of 113233140 is about 483.7910727701.

Adding to 113233140 its reverse (41332311), we get a palindrome (154565451).

The spelling of 113233140 in words is "one hundred thirteen million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1013 1035 1215 1242 1380 1620 1863 2026 2070 2430 2484 3039 3105 3726 4052 4140 4860 5065 5589 6078 6210 7452 9117 9315 10130 11178 12156 12420 15195 18234 18630 20260 22356 23299 27351 27945 30390 36468 37260 45585 46598 54702 55890 60780 69897 82053 91170 93196 109404 111780 116495 136755 139794 164106 182340 209691 232990 246159 273510 279588 328212 349485 410265 419382 465980 492318 547020 629073 698970 820530 838764 984636 1048455 1230795 1258146 1397940 1641060 1887219 2096910 2461590 2516292 3145365 3774438 4193820 4923180 5661657 6290730 7548876 9436095 11323314 12581460 18872190 22646628 28308285 37744380 56616570 113233140