Search a number
-
+
2361622640 = 245132270791
BaseRepresentation
bin1000110011000011…
…1000000001110000
320002120210212020012
42030300320001300
514314033411030
61030201434052
7112344314126
oct21460700160
96076725205
102361622640
111002090053
1255aa9b928
132b836c860
1418590d916
15dc4e5095
hex8cc38070

2361622640 has 40 divisors (see below), whose sum is σ = 5913142368. Its totient is φ = 871983360.

The previous prime is 2361622639. The next prime is 2361622777. The reversal of 2361622640 is 462261632.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×23616226402 = 11154522987521139200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2361622597 and 2361622606.

It is a congruent number.

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, 1134356 + ... + 1136435.

Almost surely, 22361622640 is an apocalyptic number.

2361622640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2361622640 is an abundant number, since it is smaller than the sum of its proper divisors (3551519728).

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

2361622640 is a wasteful number, since it uses less digits than its factorization.

2361622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270817 (or 2270811 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2361622640 is about 48596.5290941647. The cubic root of 2361622640 is about 1331.6911120513.

The spelling of 2361622640 in words is "two billion, three hundred sixty-one million, six hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2270791 4541582 9083164 11353955 18166328 22707910 29520283 36332656 45415820 59040566 90831640 118081132 147601415 181663280 236162264 295202830 472324528 590405660 1180811320 2361622640