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42030180 = 223251032267
BaseRepresentation
bin1010000001010…
…1010001100100
32221002100120100
42200111101210
541224431210
64100504100
71020151653
oct240252144
987070510
1042030180
11217a7995
12120ab030
13892793a
14582119a
153a535c0
hex2815464

42030180 has 72 divisors (see below), whose sum is σ = 128786112. Its totient is φ = 11094336.

The previous prime is 42030179. The next prime is 42030199. The reversal of 42030180 is 8103024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17407 + ... + 19673.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 242030180 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 42030180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

42030180 is an abundant number, since it is smaller than the sum of its proper divisors (86755932).

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

42030180 is a wasteful number, since it uses less digits than its factorization.

42030180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42030180 is about 6483.0687178218. The cubic root of 42030180 is about 347.6859036685.

The spelling of 42030180 in words is "forty-two million, thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 2267 3090 3708 4534 4635 6180 6801 9068 9270 11335 13602 18540 20403 22670 27204 34005 40806 45340 68010 81612 102015 136020 204030 233501 408060 467002 700503 934004 1167505 1401006 2101509 2335010 2802012 3502515 4203018 4670020 7005030 8406036 10507545 14010060 21015090 42030180