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42136340 = 2253756941
BaseRepresentation
bin1010000010111…
…1001100010100
32221021202012012
42200233030110
541241330330
64103043352
71021103321
oct240571424
987252165
1042136340
112186a724
1212140558
13896405c
14584bb48
153a74c95
hex282f314

42136340 has 24 divisors (see below), whose sum is σ = 90879432. Its totient is φ = 16398720.

The previous prime is 42136337. The next prime is 42136349. The reversal of 42136340 is 4363124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11710084 + 30426256 = 3422^2 + 5516^2 .

It is a super-2 number, since 2×421363402 = 3550942297191200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42136349) 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 7 ways as a sum of consecutive naturals, for example, 27731 + ... + 29210.

It is an arithmetic number, because the mean of its divisors is an integer number (3786643).

Almost surely, 242136340 is an apocalyptic number.

It is an amenable number.

42136340 is an abundant number, since it is smaller than the sum of its proper divisors (48743092).

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

42136340 is a wasteful number, since it uses less digits than its factorization.

42136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56987 (or 56985 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 42136340 is about 6491.2510350471. The cubic root of 42136340 is about 347.9783863795.

Adding to 42136340 its reverse (4363124), we get a palindrome (46499464).

The spelling of 42136340 in words is "forty-two million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 56941 113882 227764 284705 569410 1138820 2106817 4213634 8427268 10534085 21068170 42136340