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42367120 = 245717459
BaseRepresentation
bin1010000110011…
…1100010010000
32221201110202121
42201213202100
541321221440
64112024024
71023054205
oct241474220
987643677
1042367120
1121a08054
1212232014
138a15103
1458abcac
153abd34a
hex2867890

42367120 has 40 divisors (see below), whose sum is σ = 99904320. Its totient is φ = 16705920.

The previous prime is 42367097. The next prime is 42367121. The reversal of 42367120 is 2176324.

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 (42367121) 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, 1951 + ... + 9409.

It is an arithmetic number, because the mean of its divisors is an integer number (2497608).

Almost surely, 242367120 is an apocalyptic number.

42367120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49952160).

42367120 is an abundant number, since it is smaller than the sum of its proper divisors (57537200).

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

42367120 is a wasteful number, since it uses less digits than its factorization.

42367120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 42367120 is about 6509.0029958512. The cubic root of 42367120 is about 348.6125205904.

The spelling of 42367120 in words is "forty-two million, three hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 7459 14918 29836 37295 59672 74590 119344 149180 298360 529589 596720 1059178 2118356 2647945 4236712 5295890 8473424 10591780 21183560 42367120