Search a number
-
+
2630758140 = 2232534994177
BaseRepresentation
bin1001110011001110…
…0010111011111100
320210100020100201200
42130303202323330
520341433230030
61113014135500
7122123034543
oct23463427374
96710210650
102630758140
11112aaa358a
12615051590
1332c05202a
141ad56b15a
15105e58d60
hex9cce2efc

2630758140 has 72 divisors (see below), whose sum is σ = 7984158000. Its totient is φ = 701167104.

The previous prime is 2630758099. The next prime is 2630758199. The reversal of 2630758140 is 418570362.

2630758140 is a `hidden beast` number, since 2 + 6 + 30 + 7 + 581 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2630758095 and 2630758104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627732 + ... + 631908.

Almost surely, 22630758140 is an apocalyptic number.

2630758140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2630758140 is an abundant number, since it is smaller than the sum of its proper divisors (5353399860).

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

2630758140 is a wasteful number, since it uses less digits than its factorization.

2630758140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2630758140 is about 51290.9167397113. The cubic root of 2630758140 is about 1380.4700037379.

The spelling of 2630758140 in words is "two billion, six hundred thirty million, seven hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3499 4177 6998 8354 10497 12531 13996 16708 17495 20885 20994 25062 31491 34990 37593 41770 41988 50124 52485 62655 62982 69980 75186 83540 104970 125310 125964 150372 157455 187965 209940 250620 314910 375930 629820 751860 14615323 29230646 43845969 58461292 73076615 87691938 131537907 146153230 175383876 219229845 263075814 292306460 438459690 526151628 657689535 876919380 1315379070 2630758140