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42760560 = 2435178169
BaseRepresentation
bin1010001100011…
…1100101110000
32222110110110110
42203013211300
541421314220
64124301320
71026313233
oct243074560
988413413
1042760560
1122156707
12123a1840
138b2220b
14597141a
153b49be0
hex28c7970

42760560 has 40 divisors (see below), whose sum is σ = 132558480. Its totient is φ = 11402752.

The previous prime is 42760547. The next prime is 42760561. The reversal of 42760560 is 6506724.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760561) 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, 88845 + ... + 89324.

It is an arithmetic number, because the mean of its divisors is an integer number (3313962).

Almost surely, 242760560 is an apocalyptic number.

42760560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42760560 is an abundant number, since it is smaller than the sum of its proper divisors (89797920).

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

42760560 is a wasteful number, since it uses less digits than its factorization.

42760560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178185 (or 178179 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42760560 is about 6539.1559088310. The cubic root of 42760560 is about 349.6883211684.

The spelling of 42760560 in words is "forty-two million, seven hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178169 356338 534507 712676 890845 1069014 1425352 1781690 2138028 2672535 2850704 3563380 4276056 5345070 7126760 8552112 10690140 14253520 21380280 42760560