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42334560 = 2532529399
BaseRepresentation
bin1010000101111…
…1100101100000
32221122211002200
42201133211200
541314201220
64111213200
71022560242
oct241374540
987584080
1042334560
1121995644
1212217200
138a03348
1458a0092
153ab3890
hex285f960

42334560 has 72 divisors (see below), whose sum is σ = 144471600. Its totient is φ = 11288832.

The previous prime is 42334547. The next prime is 42334571. The reversal of 42334560 is 6543324.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13260 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 242334560 is an apocalyptic number.

42334560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334560 is an abundant number, since it is smaller than the sum of its proper divisors (102137040).

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

42334560 is a wasteful number, since it uses less digits than its factorization.

42334560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29420 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42334560 is about 6506.5013640205. The cubic root of 42334560 is about 348.5231924141.

Adding to 42334560 its reverse (6543324), we get a palindrome (48877884).

The spelling of 42334560 in words is "forty-two million, three hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 29399 58798 88197 117596 146995 176394 235192 264591 293990 352788 440985 470384 529182 587980 705576 881970 940768 1058364 1175960 1322955 1411152 1763940 2116728 2351920 2645910 2822304 3527880 4233456 4703840 5291820 7055760 8466912 10583640 14111520 21167280 42334560