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36132390 = 2325783691
BaseRepresentation
bin1000100111010…
…1011000100110
32111222201022200
42021311120212
533222214030
63330235330
7616056150
oct211653046
974881280
1036132390
1119439888
1210125b46
137641318
144b27ad0
15328ad60
hex2275626

36132390 has 96 divisors (see below), whose sum is σ = 108815616. Its totient is φ = 8147520.

The previous prime is 36132359. The next prime is 36132413. The reversal of 36132390 is 9323163.

It is a super-2 number, since 2×361323902 = 2611099214224200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51945 + ... + 52635.

It is an arithmetic number, because the mean of its divisors is an integer number (1133496).

Almost surely, 236132390 is an apocalyptic number.

36132390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36132390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54407808).

36132390 is an abundant number, since it is smaller than the sum of its proper divisors (72683226).

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

36132390 is a wasteful number, since it uses less digits than its factorization.

36132390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 791 counting only the distinct ones).

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

The square root of 36132390 is about 6011.0223756030. The cubic root of 36132390 is about 330.5969909794.

The spelling of 36132390 in words is "thirty-six million, one hundred thirty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 691 747 830 1162 1245 1382 1494 1743 2073 2490 2905 3455 3486 3735 4146 4837 5229 5810 6219 6910 7470 8715 9674 10365 10458 12438 14511 17430 20730 24185 26145 29022 31095 43533 48370 52290 57353 62190 72555 87066 114706 145110 172059 217665 286765 344118 401471 435330 516177 573530 802942 860295 1032354 1204413 1720590 2007355 2408826 2580885 3613239 4014710 5161770 6022065 7226478 12044130 18066195 36132390