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42303720 = 23352271553
BaseRepresentation
bin1010000101100…
…0000011101000
32221121020210110
42201120003220
541312204340
64110414320
71022401314
oct241300350
987536713
1042303720
1121974458
12122013a0
1389c22b4
145892b44
153aa9680
hex28580e8

42303720 has 64 divisors (see below), whose sum is σ = 127552320. Its totient is φ = 11224064.

The previous prime is 42303673. The next prime is 42303727. The reversal of 42303720 is 2730324.

It is a happy number.

It is a super-3 number, since 3×423037203 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42303727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26464 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (1993005).

Almost surely, 242303720 is an apocalyptic number.

42303720 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 42303720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63776160).

42303720 is an abundant number, since it is smaller than the sum of its proper divisors (85248600).

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

42303720 is a wasteful number, since it uses less digits than its factorization.

42303720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 42303720 is about 6504.1309949908. The cubic root of 42303720 is about 348.4385408014.

The spelling of 42303720 in words is "forty-two million, three hundred three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1553 1816 2270 2724 3106 3405 4540 4659 5448 6212 6810 7765 9080 9318 12424 13620 15530 18636 23295 27240 31060 37272 46590 62120 93180 186360 352531 705062 1057593 1410124 1762655 2115186 2820248 3525310 4230372 5287965 7050620 8460744 10575930 14101240 21151860 42303720