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2145607728 = 243118945659
BaseRepresentation
bin111111111100011…
…0110000000110000
312112112100011110220
41333320312000300
513343233421403
6552523453040
7104112236055
oct17770660060
95475304426
102145607728
11a01159930
124ba687180
13282698c94
14164d5d02c
15c8575953
hex7fe36030

2145607728 has 80 divisors (see below), whose sum is σ = 6114787200. Its totient is φ = 642864640.

The previous prime is 2145607703. The next prime is 2145607759. The reversal of 2145607728 is 8277065412.

It is a self number, because there is not a number n which added to its sum of digits gives 2145607728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24163 + ... + 69821.

It is an arithmetic number, because the mean of its divisors is an integer number (76434840).

Almost surely, 22145607728 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 2145607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057393600).

2145607728 is an abundant number, since it is smaller than the sum of its proper divisors (3969179472).

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

2145607728 is a wasteful number, since it uses less digits than its factorization.

2145607728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45770 (or 45764 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2145607728 is about 46320.7051759793. The cubic root of 2145607728 is about 1289.7833756798.

The spelling of 2145607728 in words is "two billion, one hundred forty-five million, six hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 7832 11748 15664 23496 45659 46992 91318 136977 182636 273954 365272 502249 547908 730544 1004498 1095816 1506747 2008996 2191632 3013494 4017992 4063651 6026988 8035984 8127302 12053976 12190953 16254604 24107952 24381906 32509208 44700161 48763812 65018416 89400322 97527624 134100483 178800644 195055248 268200966 357601288 536401932 715202576 1072803864 2145607728