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36102096 = 2432250709
BaseRepresentation
bin1000100110110…
…1111111010000
32111221011202200
42021231333100
533220231341
63325443200
7615601632
oct211557720
974834680
1036102096
1119419048
1210110500
1376305b4
144b1aa52
153281db6
hex226dfd0

36102096 has 30 divisors (see below), whose sum is σ = 101036130. Its totient is φ = 12033984.

The previous prime is 36102091. The next prime is 36102097. The reversal of 36102096 is 69020163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 1527696 = 5880^2 + 1236^2 .

It is a super-2 number, since 2×361020962 = 2606722671186432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36102091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125211 + ... + 125498.

It is an arithmetic number, because the mean of its divisors is an integer number (3367871).

Almost surely, 236102096 is an apocalyptic number.

36102096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36102096 is an abundant number, since it is smaller than the sum of its proper divisors (64934034).

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

36102096 is a wasteful number, since it uses less digits than its factorization.

36102096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250723 (or 250714 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36102096 is about 6008.5019763665. The cubic root of 36102096 is about 330.5045724643.

The spelling of 36102096 in words is "thirty-six million, one hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 250709 501418 752127 1002836 1504254 2005672 2256381 3008508 4011344 4512762 6017016 9025524 12034032 18051048 36102096