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42074160 = 2435175309
BaseRepresentation
bin1010000010000…
…0000000110000
32221011120220020
42200200000300
541232333120
64101443440
71020424122
oct240400060
987146806
1042074160
1121827a37
1212110580
13894196b
145833212
153a61640
hex2820030

42074160 has 40 divisors (see below), whose sum is σ = 130430640. Its totient is φ = 11219712.

The previous prime is 42074117. The next prime is 42074171. The reversal of 42074160 is 6147024.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42074160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87415 + ... + 87894.

It is an arithmetic number, because the mean of its divisors is an integer number (3260766).

Almost surely, 242074160 is an apocalyptic number.

42074160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42074160 is an abundant number, since it is smaller than the sum of its proper divisors (88356480).

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

42074160 is a wasteful number, since it uses less digits than its factorization.

42074160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175325 (or 175319 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42074160 is about 6486.4597431881. The cubic root of 42074160 is about 347.8071331882.

The spelling of 42074160 in words is "forty-two million, seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175309 350618 525927 701236 876545 1051854 1402472 1753090 2103708 2629635 2804944 3506180 4207416 5259270 7012360 8414832 10518540 14024720 21037080 42074160