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42984120 = 2335358201
BaseRepresentation
bin1010001111111…
…0001010111000
32222212211010110
42203332022320
542000442440
64133144320
71031234064
oct243761270
988784113
1042984120
1122299673
121248b0a0
138b9cbba
1459ccaa4
153b91080
hex28fe2b8

42984120 has 32 divisors (see below), whose sum is σ = 128952720. Its totient is φ = 11462400.

The previous prime is 42984107. The next prime is 42984157. The reversal of 42984120 is 2148924.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178981 + ... + 179220.

Almost surely, 242984120 is an apocalyptic number.

42984120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42984120 is an abundant number, since it is smaller than the sum of its proper divisors (85968600).

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

42984120 is a wasteful number, since it uses less digits than its factorization.

42984120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358215 (or 358211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42984120 is about 6556.2275738415. The cubic root of 42984120 is about 350.2966736269.

The spelling of 42984120 in words is "forty-two million, nine hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 358201 716402 1074603 1432804 1791005 2149206 2865608 3582010 4298412 5373015 7164020 8596824 10746030 14328040 21492060 42984120