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111368964 = 22372375119
BaseRepresentation
bin1101010001101…
…01101100000100
321202120010111110
412220311230010
5212002301324
615015005020
72521422600
oct650655404
9252503443
10111368964
1157957173
1231369770
131a0c44c5
1410b10500
159b9d329
hex6a35b04

111368964 has 72 divisors (see below), whose sum is σ = 310517760. Its totient is φ = 30953664.

The previous prime is 111368947. The next prime is 111368969. The reversal of 111368964 is 469863111.

It is a super-2 number, since 2×1113689642 = 24806092284866592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111368969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19197 + ... + 24315.

Almost surely, 2111368964 is an apocalyptic number.

111368964 is a gapful number since it is divisible by the number (14) 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 111368964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155258880).

111368964 is an abundant number, since it is smaller than the sum of its proper divisors (199148796).

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

111368964 is a wasteful number, since it uses less digits than its factorization.

111368964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5168 counting only the distinct ones).

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

The square root of 111368964 is about 10553.1494825005. The cubic root of 111368964 is about 481.1214576803.

It can be divided in two parts, 11136 and 8964, that added together give a triangular number (20100 = T200).

The spelling of 111368964 in words is "one hundred eleven million, three hundred sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5119 5439 7252 10238 10878 15357 20476 21756 30714 35833 61428 71666 107499 143332 189403 214998 250831 378806 429996 501662 568209 752493 757612 1003324 1136418 1325821 1504986 2272836 2651642 3009972 3977463 5303284 7954926 9280747 15909852 18561494 27842241 37122988 55684482 111368964