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42900160 = 265791697
BaseRepresentation
bin1010001110100…
…1101011000000
32222201112221211
42203221223000
541440301120
64131255504
71030434232
oct243515300
988645854
1042900160
1122241586
121244a594
138b70914
1459aa252
153b7625a
hex28e9ac0

42900160 has 56 divisors (see below), whose sum is σ = 103510080. Its totient is φ = 16932864.

The previous prime is 42900149. The next prime is 42900223. The reversal of 42900160 is 6100924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24432 + ... + 26128.

Almost surely, 242900160 is an apocalyptic number.

42900160 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 42900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755040).

42900160 is an abundant number, since it is smaller than the sum of its proper divisors (60609920).

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

42900160 is a wasteful number, since it uses less digits than its factorization.

42900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 42900160 is about 6549.8213716101. The cubic root of 42900160 is about 350.0684491976.

The spelling of 42900160 in words is "forty-two million, nine hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 1697 2528 3160 3394 5056 6320 6788 8485 12640 13576 16970 25280 27152 33940 54304 67880 108608 134063 135760 268126 271520 536252 543040 670315 1072504 1340630 2145008 2681260 4290016 5362520 8580032 10725040 21450080 42900160