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42420720 = 2435176753
BaseRepresentation
bin1010000111010…
…0100111110000
32221211012021210
42201310213300
541324430340
64113120120
71023366366
oct241644760
987735253
1042420720
1121a44351
1212259040
138a33624
1458c3636
153ace180
hex28749f0

42420720 has 40 divisors (see below), whose sum is σ = 131504976. Its totient is φ = 11312128.

The previous prime is 42420701. The next prime is 42420727. The reversal of 42420720 is 2702424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88137 + ... + 88616.

Almost surely, 242420720 is an apocalyptic number.

42420720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42420720 is an abundant number, since it is smaller than the sum of its proper divisors (89084256).

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

42420720 is a wasteful number, since it uses less digits than its factorization.

42420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176769 (or 176763 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 42420720 is about 6513.1190684648. The cubic root of 42420720 is about 348.7594722572.

The spelling of 42420720 in words is "forty-two million, four hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176753 353506 530259 707012 883765 1060518 1414024 1767530 2121036 2651295 2828048 3535060 4242072 5302590 7070120 8484144 10605180 14140240 21210360 42420720