Search a number
-
+
8187282040 = 235729240293
BaseRepresentation
bin1111010000000000…
…00000001001111000
3210010120211000120011
413220000000021320
5113231421011130
63432225511304
7406613514640
oct75000001170
923116730504
108187282040
1135215641a3
121705aa2534
13a062966b2
145794d9520
1532db9152a
hex1e8000278

8187282040 has 32 divisors (see below), whose sum is σ = 21053011680. Its totient is φ = 2807068032.

The previous prime is 8187282031. The next prime is 8187282053. The reversal of 8187282040 is 402827818.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8187281984 and 8187282002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14619867 + ... + 14620426.

It is an arithmetic number, because the mean of its divisors is an integer number (657906615).

Almost surely, 28187282040 is an apocalyptic number.

It is an amenable number.

8187282040 is an abundant number, since it is smaller than the sum of its proper divisors (12865729640).

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

8187282040 is a wasteful number, since it uses less digits than its factorization.

8187282040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29240311 (or 29240307 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 8187282040 is about 90483.6009451436. The cubic root of 8187282040 is about 2015.4866096087.

The spelling of 8187282040 in words is "eight billion, one hundred eighty-seven million, two hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 29240293 58480586 116961172 146201465 204682051 233922344 292402930 409364102 584805860 818728204 1023410255 1169611720 1637456408 2046820510 4093641020 8187282040