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42294180 = 223529109223
BaseRepresentation
bin1010000101010…
…1101110100100
32221120202201010
42201111232210
541311403210
64110302220
71022331435
oct241255644
987522633
1042294180
1121968275
12121b7970
1389bab56
14588d48c
153aa6920
hex2855ba4

42294180 has 96 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 10741248.

The previous prime is 42294179. The next prime is 42294191. The reversal of 42294180 is 8149224.

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 31 ways as a sum of consecutive naturals, for example, 189549 + ... + 189771.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 242294180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42294180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

42294180 is an abundant number, since it is smaller than the sum of its proper divisors (81891420).

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

42294180 is a wasteful number, since it uses less digits than its factorization.

42294180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42294180 is about 6503.3975735764. The cubic root of 42294180 is about 348.4123464652.

The spelling of 42294180 in words is "forty-two million, two hundred ninety-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 109 116 145 174 218 223 290 327 348 435 436 446 545 580 654 669 870 892 1090 1115 1308 1338 1635 1740 2180 2230 2676 3161 3270 3345 4460 6322 6467 6540 6690 9483 12644 12934 13380 15805 18966 19401 24307 25868 31610 32335 37932 38802 47415 48614 63220 64670 72921 77604 94830 97005 97228 121535 129340 145842 189660 194010 243070 291684 364605 388020 486140 704903 729210 1409806 1458420 2114709 2819612 3524515 4229418 7049030 8458836 10573545 14098060 21147090 42294180