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42310840 = 23511132569
BaseRepresentation
bin1010000101100…
…1110010111000
32221121121120011
42201121302320
541312421330
64110511304
71022431135
oct241316270
987547504
1042310840
1121979840
1212205534
1389c5600
14589558c
153aab82a
hex2859cb8

42310840 has 96 divisors (see below), whose sum is σ = 112654800. Its totient is φ = 14177280.

The previous prime is 42310831. The next prime is 42310871. The reversal of 42310840 is 4801324.

42310840 = T257 + T258 + ... + T646.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74076 + ... + 74644.

Almost surely, 242310840 is an apocalyptic number.

42310840 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 42310840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327400).

42310840 is an abundant number, since it is smaller than the sum of its proper divisors (70343960).

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

42310840 is a wasteful number, since it uses less digits than its factorization.

42310840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42310840 is about 6504.6783164120. The cubic root of 42310840 is about 348.4580878865.

The spelling of 42310840 in words is "forty-two million, three hundred ten thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 569 572 676 715 845 1138 1144 1352 1430 1690 1859 2276 2845 2860 3380 3718 4552 5690 5720 6259 6760 7397 7436 9295 11380 12518 14794 14872 18590 22760 25036 29588 31295 36985 37180 50072 59176 62590 73970 74360 81367 96161 125180 147940 162734 192322 250360 295880 325468 384644 406835 480805 650936 769288 813670 961610 1057771 1627340 1923220 2115542 3254680 3846440 4231084 5288855 8462168 10577710 21155420 42310840