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20431290 = 23511101613
BaseRepresentation
bin100110111110…
…0000110111010
31102110000110110
41031330012322
520212300130
62005525150
7335443305
oct115740672
942400413
1020431290
1110595370
126a137b6
134304829
1429dbb3c
151bd8ab0
hex137c1ba

20431290 has 64 divisors (see below), whose sum is σ = 54110592. Its totient is φ = 4896000.

The previous prime is 20431277. The next prime is 20431303. The reversal of 20431290 is 9213402.

It is an interprime number because it is at equal distance from previous prime (20431277) and next prime (20431303).

It is a super-2 number, since 2×204312902 = 834875222128200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33024 + ... + 33636.

It is an arithmetic number, because the mean of its divisors is an integer number (845478).

Almost surely, 220431290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27055296).

20431290 is an abundant number, since it is smaller than the sum of its proper divisors (33679302).

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

20431290 is a wasteful number, since it uses less digits than its factorization.

20431290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20431290 is about 4520.0984502553. The cubic root of 20431290 is about 273.3790706066.

Adding to 20431290 its reverse (9213402), we get a palindrome (29644692).

It can be divided in two parts, 204312 and 90, that added together give a palindrome (204402).

The spelling of 20431290 in words is "twenty million, four hundred thirty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 613 1010 1111 1226 1515 1839 2222 3030 3065 3333 3678 5555 6130 6666 6743 9195 11110 13486 16665 18390 20229 33330 33715 40458 61913 67430 101145 123826 185739 202290 309565 371478 619130 681043 928695 1362086 1857390 2043129 3405215 4086258 6810430 10215645 20431290