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36030096 = 24363089
BaseRepresentation
bin1000100101110…
…0011010010000
32111210112000000
42021130122100
533210430341
63324130000
7615152004
oct211343220
974715000
1036030096
1119379a43
1210096900
1376068ab
144adc704
15326a8b6
hex225c690

36030096 has 70 divisors (see below), whose sum is σ = 104698470. Its totient is φ = 12006144.

The previous prime is 36030079. The next prime is 36030107. The reversal of 36030096 is 69003063.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 746496 = 5940^2 + 864^2 .

It is a super-3 number, since 3×360300963 (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10120 + ... + 13208.

Almost surely, 236030096 is an apocalyptic number.

36030096 is a gapful number since it is divisible by the number (36) 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 36030096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52349235).

36030096 is an abundant number, since it is smaller than the sum of its proper divisors (68668374).

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

36030096 is an equidigital number, since it uses as much as digits as its factorization.

36030096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36030096 is about 6002.5074760470. The cubic root of 36030096 is about 330.2847129662.

The spelling of 36030096 in words is "thirty-six million, thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3089 3888 5832 6178 9267 11664 12356 18534 24712 27801 37068 49424 55602 74136 83403 111204 148272 166806 222408 250209 333612 444816 500418 667224 750627 1000836 1334448 1501254 2001672 2251881 3002508 4003344 4503762 6005016 9007524 12010032 18015048 36030096