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36190040 = 23523139283
BaseRepresentation
bin1000101000001…
…1011101011000
32112002122101212
42022003131120
533231040130
63331402252
7616416215
oct212033530
975078355
1036190040
1119479127
1210153388
137661633
144b40b0c
15329ce95
hex2283758

36190040 has 64 divisors (see below), whose sum is σ = 85881600. Its totient is φ = 13698432.

The previous prime is 36190039. The next prime is 36190061. The reversal of 36190040 is 4009163.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 36189988 and 36190015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127739 + ... + 128021.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 236190040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940800).

36190040 is an abundant number, since it is smaller than the sum of its proper divisors (49691560).

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

36190040 is a wasteful number, since it uses less digits than its factorization.

36190040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 36190040 is about 6015.8158216488. The cubic root of 36190040 is about 330.7727224049.

The spelling of 36190040 in words is "thirty-six million, one hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 278 283 460 556 566 695 920 1112 1132 1390 1415 2264 2780 2830 3197 5560 5660 6394 6509 11320 12788 13018 15985 25576 26036 31970 32545 39337 52072 63940 65090 78674 127880 130180 157348 196685 260360 314696 393370 786740 904751 1573480 1809502 3619004 4523755 7238008 9047510 18095020 36190040