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36113130 = 23251492693
BaseRepresentation
bin1000100111000…
…0101011101010
32111221201220100
42021300223222
533221110010
63330010230
7615646044
oct211605352
974851810
1036113130
1119426369
1210116976
137635621
144b20a94
1532852c0
hex2270aea

36113130 has 48 divisors (see below), whose sum is σ = 94559400. Its totient is φ = 9561984.

The previous prime is 36113101. The next prime is 36113131. The reversal of 36113130 is 3131163.

It can be written as a sum of positive squares in 4 ways, for example, as 20169081 + 15944049 = 4491^2 + 3993^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36113131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12064 + ... + 14756.

Almost surely, 236113130 is an apocalyptic number.

36113130 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 36113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47279700).

36113130 is an abundant number, since it is smaller than the sum of its proper divisors (58446270).

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

36113130 is a wasteful number, since it uses less digits than its factorization.

36113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 36113130 is about 6009.4201051349. The cubic root of 36113130 is about 330.5382400940.

Adding to 36113130 its reverse (3131163), we get a palindrome (39244293).

The spelling of 36113130 in words is "thirty-six million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 2693 4470 5386 6705 8079 13410 13465 16158 24237 26930 40395 48474 80790 121185 242370 401257 802514 1203771 2006285 2407542 3611313 4012570 6018855 7222626 12037710 18056565 36113130