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20364652 = 22711371787
BaseRepresentation
bin100110110101…
…1110101101100
31102022122001101
41031223311230
520203132102
62004252444
7335045110
oct115536554
942278041
1020364652
111054a2a0
1269a1124
1342b03b9
1429c1740
151bc3e87
hex136bd6c

20364652 has 48 divisors (see below), whose sum is σ = 45658368. Its totient is φ = 7715520.

The previous prime is 20364649. The next prime is 20364653. The reversal of 20364652 is 25646302.

It is a happy number.

It is a super-2 number, since 2×203646522 = 829438102162208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20364652.

It is not an unprimeable number, because it can be changed into a prime (20364653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10503 + ... + 12289.

It is an arithmetic number, because the mean of its divisors is an integer number (951216).

Almost surely, 220364652 is an apocalyptic number.

20364652 is a gapful number since it is divisible by the number (22) 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 20364652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829184).

20364652 is an abundant number, since it is smaller than the sum of its proper divisors (25293716).

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

20364652 is a wasteful number, since it uses less digits than its factorization.

20364652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 20364652 is about 4512.7211303159. The cubic root of 20364652 is about 273.0815322677.

The spelling of 20364652 in words is "twenty million, three hundred sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1628 1787 2849 3574 5698 7148 11396 12509 19657 25018 39314 50036 66119 78628 132238 137599 264476 275198 462833 550396 727309 925666 1454618 1851332 2909236 5091163 10182326 20364652