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20351142 = 2337173167
BaseRepresentation
bin100110110100…
…0100010100110
31102021221112000
41031220202212
520202214032
62004110130
7334660530
oct115504246
942257460
1020351142
1110540129
126995346
1342a71c6
1429ba850
151bbee7c
hex13688a6

20351142 has 64 divisors (see below), whose sum is σ = 54743040. Its totient is φ = 5470848.

The previous prime is 20351131. The next prime is 20351143. The reversal of 20351142 is 24115302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20351143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4843 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (855360).

Almost surely, 220351142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20351142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371520).

20351142 is an abundant number, since it is smaller than the sum of its proper divisors (34391898).

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

20351142 is a wasteful number, since it uses less digits than its factorization.

20351142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20351142 is about 4511.2240024189. The cubic root of 20351142 is about 273.0211310778.

Adding to 20351142 its reverse (24115302), we get a palindrome (44466444).

The spelling of 20351142 in words is "twenty million, three hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3167 3213 6334 6426 9501 19002 22169 28503 44338 53839 57006 66507 85509 107678 133014 161517 171018 199521 323034 376873 399042 484551 598563 753746 969102 1130619 1197126 1453653 2261238 2907306 3391857 6783714 10175571 20351142