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42375720 = 23351811951
BaseRepresentation
bin1010000110100…
…1101000101000
32221201220120010
42201221220220
541322010340
64112131520
71023121242
oct241515050
987656503
1042375720
1121a13562
1212236ba0
138a18cba
1458b1092
153ac0b80
hex2869a28

42375720 has 64 divisors (see below), whose sum is σ = 127895040. Its totient is φ = 11232000.

The previous prime is 42375701. The next prime is 42375731. The reversal of 42375720 is 2757324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20745 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 242375720 is an apocalyptic number.

42375720 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 42375720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63947520).

42375720 is an abundant number, since it is smaller than the sum of its proper divisors (85519320).

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

42375720 is a wasteful number, since it uses less digits than its factorization.

42375720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 42375720 is about 6509.6635857777. The cubic root of 42375720 is about 348.6361070008.

The spelling of 42375720 in words is "forty-two million, three hundred seventy-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 1951 2172 2715 3620 3902 4344 5430 5853 7240 7804 9755 10860 11706 15608 19510 21720 23412 29265 39020 46824 58530 78040 117060 234120 353131 706262 1059393 1412524 1765655 2118786 2825048 3531310 4237572 5296965 7062620 8475144 10593930 14125240 21187860 42375720