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113889360 = 243513173211
BaseRepresentation
bin1101100100111…
…01000001010000
321221022011211110
412302131001100
5213123424420
615145013320
72552020644
oct662350120
9257264743
10113889360
1159318842
1232184240
131a797770
14111a8c24
159ee9ee0
hex6c9d050

113889360 has 160 divisors (see below), whose sum is σ = 384225408. Its totient is φ = 27740160.

The previous prime is 113889359. The next prime is 113889361. The reversal of 113889360 is 63988311.

It is an interprime number because it is at equal distance from previous prime (113889359) and next prime (113889361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113889361) 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 31 ways as a sum of consecutive naturals, for example, 539655 + ... + 539865.

Almost surely, 2113889360 is an apocalyptic number.

113889360 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 113889360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192112704).

113889360 is an abundant number, since it is smaller than the sum of its proper divisors (270336048).

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

113889360 is a wasteful number, since it uses less digits than its factorization.

113889360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 113889360 is about 10671.8958015903. The cubic root of 113889360 is about 484.7238446313.

The spelling of 113889360 in words is "one hundred thirteen million, eight hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 173 195 208 211 240 260 312 346 390 422 519 520 624 633 692 780 844 865 1038 1040 1055 1266 1384 1560 1688 1730 2076 2110 2249 2532 2595 2743 2768 3120 3165 3376 3460 4152 4220 4498 5064 5190 5486 6330 6747 6920 8229 8304 8440 8996 10128 10380 10972 11245 12660 13494 13715 13840 16458 16880 17992 20760 21944 22490 25320 26988 27430 32916 33735 35984 36503 41145 41520 43888 44980 50640 53976 54860 65832 67470 73006 82290 89960 107952 109509 109720 131664 134940 146012 164580 179920 182515 219018 219440 269880 292024 329160 365030 438036 474539 539760 547545 584048 658320 730060 876072 949078 1095090 1423617 1460120 1752144 1898156 2190180 2372695 2847234 2920240 3796312 4380360 4745390 5694468 7118085 7592624 8760720 9490780 11388936 14236170 18981560 22777872 28472340 37963120 56944680 113889360