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20273136 = 2431353613
BaseRepresentation
bin100110101010…
…1011111110000
31102010222111220
41031111133300
520142220021
62002305040
7334214232
oct115253760
942128456
1020273136
1110497564
126958180
13427a850
14299a252
151ba6cc6
hex13557f0

20273136 has 80 divisors (see below), whose sum is σ = 57558816. Its totient is φ = 6110208.

The previous prime is 20273131. The next prime is 20273159. The reversal of 20273136 is 63137202.

It is a super-2 number, since 2×202731362 = 822000086548992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20273131) 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, 32766 + ... + 33378.

Almost surely, 220273136 is an apocalyptic number.

20273136 is a gapful number since it is divisible by the number (26) 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 20273136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28779408).

20273136 is an abundant number, since it is smaller than the sum of its proper divisors (37285680).

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

20273136 is a wasteful number, since it uses less digits than its factorization.

20273136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 20273136 is about 4502.5699328273. The cubic root of 20273136 is about 272.6718541133.

The spelling of 20273136 in words is "twenty million, two hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 613 624 636 689 848 1226 1272 1378 1839 2067 2452 2544 2756 3678 4134 4904 5512 7356 7969 8268 9808 11024 14712 15938 16536 23907 29424 31876 32489 33072 47814 63752 64978 95628 97467 127504 129956 191256 194934 259912 382512 389868 422357 519824 779736 844714 1267071 1559472 1689428 2534142 3378856 5068284 6757712 10136568 20273136