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116338600 = 23527233613
BaseRepresentation
bin1101110111100…
…10111110101000
322002220121120001
412323302332220
5214240313400
615313312344
72611601410
oct673627650
9262817501
10116338600
115a740a04
1232b656b4
131b144511
1411645640
15a330a6a
hex6ef2fa8

116338600 has 96 divisors (see below), whose sum is σ = 322657920. Its totient is φ = 38142720.

The previous prime is 116338597. The next prime is 116338601. The reversal of 116338600 is 6833611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116338601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30394 + ... + 34006.

It is an arithmetic number, because the mean of its divisors is an integer number (3361020).

Almost surely, 2116338600 is an apocalyptic number.

116338600 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 116338600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161328960).

116338600 is an abundant number, since it is smaller than the sum of its proper divisors (206319320).

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

116338600 is a wasteful number, since it uses less digits than its factorization.

116338600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 116338600 is about 10786.0372704715. The cubic root of 116338600 is about 488.1739615390.

The spelling of 116338600 in words is "one hundred sixteen million, three hundred thirty-eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 3613 4025 4600 6440 7226 8050 14452 16100 18065 25291 28904 32200 36130 50582 72260 83099 90325 101164 126455 144520 166198 180650 202328 252910 332396 361300 415495 505820 581693 632275 664792 722600 830990 1011640 1163386 1264550 1661980 2077475 2326772 2529100 2908465 3323960 4154950 4653544 5058200 5816930 8309900 11633860 14542325 16619800 23267720 29084650 58169300 116338600