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42570180 = 22325713331
BaseRepresentation
bin1010001001100…
…1000111000100
32222002210022100
42202121013010
541344221210
64120232100
71024561212
oct242310704
988083270
1042570180
1122036674
121230b630
138a86673
145921cb2
153b0d5c0
hex28991c4

42570180 has 72 divisors (see below), whose sum is σ = 130987584. Its totient is φ = 11188800.

The previous prime is 42570163. The next prime is 42570197. The reversal of 42570180 is 8107524.

It is an interprime number because it is at equal distance from previous prime (42570163) and next prime (42570197).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11115 + ... + 14445.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 242570180 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 42570180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65493792).

42570180 is an abundant number, since it is smaller than the sum of its proper divisors (88417404).

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

42570180 is a wasteful number, since it uses less digits than its factorization.

42570180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42570180 is about 6524.5827452796. The cubic root of 42570180 is about 349.1685843815.

The spelling of 42570180 in words is "forty-two million, five hundred seventy thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 3331 4260 6390 6662 9993 12780 13324 16655 19986 29979 33310 39972 49965 59958 66620 99930 119916 149895 199860 236501 299790 473002 599580 709503 946004 1182505 1419006 2128509 2365010 2838012 3547515 4257018 4730020 7095030 8514036 10642545 14190060 21285090 42570180