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42102940 = 22511211907
BaseRepresentation
bin1010000010011…
…1000010011100
32221020001101011
42200213002130
541234243230
64102225004
71020604045
oct240470234
987201334
1042102940
1121847620
1212125164
138951aa9
14583d8cc
153a69e2a
hex282709c

42102940 has 48 divisors (see below), whose sum is σ = 97017984. Its totient is φ = 15220800.

The previous prime is 42102937. The next prime is 42102943. The reversal of 42102940 is 4920124.

It is an interprime number because it is at equal distance from previous prime (42102937) and next prime (42102943).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45967 + ... + 46873.

It is an arithmetic number, because the mean of its divisors is an integer number (2021208).

Almost surely, 242102940 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 42102940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48508992).

42102940 is an abundant number, since it is smaller than the sum of its proper divisors (54915044).

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

42102940 is a wasteful number, since it uses less digits than its factorization.

42102940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 42102940 is about 6488.6778314230. The cubic root of 42102940 is about 347.8864186515.

The spelling of 42102940 in words is "forty-two million, one hundred two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 907 1055 1814 2110 2321 3628 4220 4535 4642 9070 9284 9977 11605 18140 19954 23210 39908 46420 49885 99770 191377 199540 382754 765508 956885 1913770 2105147 3827540 4210294 8420588 10525735 21051470 42102940