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42131940 = 2235702199
BaseRepresentation
bin1010000010111…
…0000111100100
32221021112011020
42200232013210
541241210230
64103011140
71021054434
oct240560744
987245136
1042131940
1121867394
1212139ab0
138962056
14584a2c4
153a73810
hex282e1e4

42131940 has 24 divisors (see below), whose sum is σ = 117969600. Its totient is φ = 11235168.

The previous prime is 42131939. The next prime is 42131941. The reversal of 42131940 is 4913124.

It is an interprime number because it is at equal distance from previous prime (42131939) and next prime (42131941).

It is a self number, because there is not a number n which added to its sum of digits gives 42131940.

It is not an unprimeable number, because it can be changed into a prime (42131941) 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, 351040 + ... + 351159.

It is an arithmetic number, because the mean of its divisors is an integer number (4915400).

Almost surely, 242131940 is an apocalyptic number.

It is an amenable number.

42131940 is an abundant number, since it is smaller than the sum of its proper divisors (75837660).

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

42131940 is a wasteful number, since it uses less digits than its factorization.

42131940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702211 (or 702209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42131940 is about 6490.9121084791. The cubic root of 42131940 is about 347.9662736505.

It can be divided in two parts, 42131 and 940, that added together give a triangular number (43071 = T293).

The spelling of 42131940 in words is "forty-two million, one hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 702199 1404398 2106597 2808796 3510995 4213194 7021990 8426388 10532985 14043980 21065970 42131940