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42331020 = 22351747883
BaseRepresentation
bin1010000101111…
…0101110001100
32221122122020120
42201132232030
541314043040
64111144540
71022544024
oct241365614
987578216
1042331020
1121992a16
1212215150
138a01854
14589ca84
153ab27d0
hex285eb8c

42331020 has 96 divisors (see below), whose sum is σ = 128314368. Its totient is φ = 10386432.

The previous prime is 42331007. The next prime is 42331033. The reversal of 42331020 is 2013324.

42331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42331007) and next prime (42331033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47499 + ... + 48381.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608).

Almost surely, 242331020 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 42331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184).

42331020 is an abundant number, since it is smaller than the sum of its proper divisors (85983348).

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

42331020 is a wasteful number, since it uses less digits than its factorization.

42331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42331020 is about 6506.2293227337. The cubic root of 42331020 is about 348.5134776838.

Adding to 42331020 its reverse (2013324), we get a palindrome (44344344).

It can be divided in two parts, 4233 and 1020, that added together give a triangular number (5253 = T102).

The spelling of 42331020 in words is "forty-two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 883 940 1020 1410 1598 1766 2397 2649 2820 3196 3532 3995 4415 4794 5298 7990 8830 9588 10596 11985 13245 15011 15980 17660 23970 26490 30022 41501 45033 47940 52980 60044 75055 83002 90066 124503 150110 166004 180132 207505 225165 249006 300220 415010 450330 498012 622515 705517 830020 900660 1245030 1411034 2116551 2490060 2822068 3527585 4233102 7055170 8466204 10582755 14110340 21165510 42331020