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116700072 = 233371131163
BaseRepresentation
bin1101111010010…
…11001110101000
322010120222101220
412331023032220
5214333400242
615325142040
72614635306
oct675131650
9263528356
10116700072
115a968545
12330ba920
131b23cbc8
14116db276
15a3a2bec
hex6f4b3a8

116700072 has 64 divisors (see below), whose sum is σ = 302546880. Its totient is φ = 37481472.

The previous prime is 116700061. The next prime is 116700079. The reversal of 116700072 is 270007611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (116700079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99763 + ... + 100925.

It is an arithmetic number, because the mean of its divisors is an integer number (4727295).

Almost surely, 2116700072 is an apocalyptic number.

116700072 is a gapful number since it is divisible by the number (12) 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 116700072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151273440).

116700072 is an abundant number, since it is smaller than the sum of its proper divisors (185846808).

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

116700072 is a wasteful number, since it uses less digits than its factorization.

116700072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 116700072 is about 10802.7807531209. The cubic root of 116700072 is about 488.6790354469.

Adding to 116700072 its reverse (270007611), we get a palindrome (386707683).

The spelling of 116700072 in words is "one hundred sixteen million, seven hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 444 452 678 888 904 1163 1356 2326 2712 3489 4181 4652 6978 8362 9304 12543 13956 16724 25086 27912 33448 43031 50172 86062 100344 129093 131419 172124 258186 262838 344248 394257 516372 525676 788514 1032744 1051352 1577028 3154056 4862503 9725006 14587509 19450012 29175018 38900024 58350036 116700072