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42138840 = 2335351157
BaseRepresentation
bin1010000010111…
…1110011011000
32221021212121210
42200233303120
541241420330
64103103120
71021113522
oct240576330
987255553
1042138840
1121871597
1212141aa0
138965233
14584ca12
153a758b0
hex282fcd8

42138840 has 32 divisors (see below), whose sum is σ = 126416880. Its totient is φ = 11236992.

The previous prime is 42138799. The next prime is 42138881. The reversal of 42138840 is 4883124.

42138840 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 (42138799) and next prime (42138881).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42138798 and 42138807.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 175459 + ... + 175698.

Almost surely, 242138840 is an apocalyptic number.

42138840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42138840 is an abundant number, since it is smaller than the sum of its proper divisors (84278040).

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

42138840 is a wasteful number, since it uses less digits than its factorization.

42138840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351171 (or 351167 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42138840 is about 6491.4435990772. The cubic root of 42138840 is about 347.9852682362.

The spelling of 42138840 in words is "forty-two million, one hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 351157 702314 1053471 1404628 1755785 2106942 2809256 3511570 4213884 5267355 7023140 8427768 10534710 14046280 21069420 42138840