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86240700 = 2236527132
BaseRepresentation
bin1010010001111…
…10110110111100
320000021111000000
411020332312330
5134034200300
612320234300
72065014420
oct510766674
9200244000
1086240700
1144753a07
1224a6b990
1314b36b00
14b64cb80
157887c00
hex523edbc

86240700 has 378 divisors, whose sum is σ = 347232984. Its totient is φ = 18195840.

The previous prime is 86240689. The next prime is 86240701. The reversal of 86240700 is 704268.

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86240701) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6633894 + ... + 6633906.

Almost surely, 286240700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86240700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173616492).

86240700 is an abundant number, since it is smaller than the sum of its proper divisors (260992284).

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

86240700 is a wasteful number, since it uses less digits than its factorization.

86240700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 86240700 is about 9286.5871018367. The cubic root of 86240700 is about 441.8119153619.

Adding to 86240700 its reverse (704268), we get a palindrome (86944968).

The spelling of 86240700 in words is "eighty-six million, two hundred forty thousand, seven hundred".