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42117180 = 22357100279
BaseRepresentation
bin1010000010101…
…0100000111100
32221020202220120
42200222200330
541240222210
64102414540
71020663420
oct240524074
987222816
1042117180
1121857296
1212131450
138958411
145844b80
153a6e270
hex282a83c

42117180 has 48 divisors (see below), whose sum is σ = 134776320. Its totient is φ = 9626688.

The previous prime is 42117169. The next prime is 42117181. The reversal of 42117180 is 8171124.

It is a self number, because there is not a number n which added to its sum of digits gives 42117180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117181) 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, 49720 + ... + 50559.

It is an arithmetic number, because the mean of its divisors is an integer number (2807840).

Almost surely, 242117180 is an apocalyptic number.

It is an amenable number.

42117180 is an abundant number, since it is smaller than the sum of its proper divisors (92659140).

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

42117180 is a wasteful number, since it uses less digits than its factorization.

42117180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100298 (or 100296 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 42117180 is about 6489.7750346218. The cubic root of 42117180 is about 347.9256347902.

The spelling of 42117180 in words is "forty-two million, one hundred seventeen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 100279 200558 300837 401116 501395 601674 701953 1002790 1203348 1403906 1504185 2005580 2105859 2807812 3008370 3509765 4211718 6016740 7019530 8423436 10529295 14039060 21058590 42117180