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36540042 = 23711139569
BaseRepresentation
bin1000101101100…
…0111010001010
32112202102111220
42023120322022
533323240132
63343102510
7622404510
oct213307212
975672456
1036540042
1119698090
12102a1a36
137754a36
144bd24b0
15331ba2c
hex22d8e8a

36540042 has 64 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 9406080.

The previous prime is 36540017. The next prime is 36540043. The reversal of 36540042 is 24004563.

It is a junction number, because it is equal to n+sod(n) for n = 36539994 and 36540021.

It is not an unprimeable number, because it can be changed into a prime (36540043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63934 + ... + 64502.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 236540042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36540042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

36540042 is an abundant number, since it is smaller than the sum of its proper divisors (55389558).

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

36540042 is a wasteful number, since it uses less digits than its factorization.

36540042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 36540042 is about 6044.8359779236. The cubic root of 36540042 is about 331.8356289455.

The spelling of 36540042 in words is "thirty-six million, five hundred forty thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 139 154 231 278 417 462 569 834 973 1138 1529 1707 1946 2919 3058 3414 3983 4587 5838 6259 7966 9174 10703 11949 12518 18777 21406 23898 32109 37554 43813 64218 79091 87626 131439 158182 237273 262878 474546 553637 870001 1107274 1660911 1740002 2610003 3321822 5220006 6090007 12180014 18270021 36540042