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113974740 = 223251125233
BaseRepresentation
bin1101100101100…
…01110111010100
321221110111221200
412302301313110
5213134142430
615150512500
72552524605
oct662616724
9257414850
10113974740
1159376a00
1232205730
131a7c7599
14111cbdac
15a015460
hex6cb1dd4

113974740 has 108 divisors (see below), whose sum is σ = 380082612. Its totient is φ = 27624960.

The previous prime is 113974739. The next prime is 113974747. The reversal of 113974740 is 47479311.

It can be written as a sum of positive squares in 2 ways, for example, as 81757764 + 32216976 = 9042^2 + 5676^2 .

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 = 113974695 and 113974704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113974747) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19164 + ... + 24396.

Almost surely, 2113974740 is an apocalyptic number.

113974740 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 113974740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190041306).

113974740 is an abundant number, since it is smaller than the sum of its proper divisors (266107872).

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

113974740 is a wasteful number, since it uses less digits than its factorization.

113974740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 113974740 is about 10675.8952786172. The cubic root of 113974740 is about 484.8449428158.

The spelling of 113974740 in words is "one hundred thirteen million, nine hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5233 5445 7260 10466 10890 15699 20932 21780 26165 31398 47097 52330 57563 62796 78495 94194 104660 115126 156990 172689 188388 230252 235485 287815 313980 345378 470970 518067 575630 633193 690756 863445 941940 1036134 1151260 1266386 1726890 1899579 2072268 2532772 2590335 3165965 3453780 3799158 5180670 5698737 6331930 7598316 9497895 10361340 11397474 12663860 18995790 22794948 28493685 37991580 56987370 113974740