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113396760 = 23345311129
BaseRepresentation
bin1101100001001…
…00110000011000
321220101011010000
412300210300120
5213012144020
615130253000
72544566541
oct660446030
9256334100
10113396760
1159011734
1231b87160
131a654499
14110bb4c8
159e4e090
hex6c24c18

113396760 has 160 divisors (see below), whose sum is σ = 393782400. Its totient is φ = 29237760.

The previous prime is 113396753. The next prime is 113396797. The reversal of 113396760 is 67693311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99876 + ... + 101004.

It is an arithmetic number, because the mean of its divisors is an integer number (2461140).

Almost surely, 2113396760 is an apocalyptic number.

113396760 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 113396760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196891200).

113396760 is an abundant number, since it is smaller than the sum of its proper divisors (280385640).

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

113396760 is a wasteful number, since it uses less digits than its factorization.

113396760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 113396760 is about 10648.7914807268. The cubic root of 113396760 is about 484.0239839673.

The spelling of 113396760 in words is "one hundred thirteen million, three hundred ninety-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 1080 1116 1129 1240 1395 1620 1674 1860 2232 2258 2511 2790 3240 3348 3387 3720 4185 4516 5022 5580 5645 6696 6774 8370 9032 10044 10161 11160 11290 12555 13548 16740 16935 20088 20322 22580 25110 27096 30483 33480 33870 34999 40644 45160 50220 50805 60966 67740 69998 81288 91449 100440 101610 104997 121932 135480 139996 152415 174995 182898 203220 209994 243864 279992 304830 314991 349990 365796 406440 419988 457245 524985 609660 629982 699980 731592 839976 914490 944973 1049970 1219320 1259964 1399960 1574955 1828980 1889946 2099940 2519928 2834919 3149910 3657960 3779892 4199880 4724865 5669838 6299820 7559784 9449730 11339676 12599640 14174595 18899460 22679352 28349190 37798920 56698380 113396760