Search a number
-
+
2361268640 = 25557725577
BaseRepresentation
bin1000110010111110…
…0001100110100000
320002120010212122002
42030233201212200
514313441044030
61030150103132
7112341311063
oct21457414640
96076125562
102361268640
111001969095
1255a94aaa8
132b82776a3
1418585a8da
15dc475245
hex8cbe19a0

2361268640 has 48 divisors (see below), whose sum is σ = 5588383752. Its totient is φ = 942833664.

The previous prime is 2361268631. The next prime is 2361268697. The reversal of 2361268640 is 468621632.

It can be written as a sum of positive squares in 4 ways, for example, as 1997374864 + 363893776 = 44692^2 + 19076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2361268594 and 2361268603.

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, 79532 + ... + 105108.

Almost surely, 22361268640 is an apocalyptic number.

2361268640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2361268640 is an abundant number, since it is smaller than the sum of its proper divisors (3227115112).

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

2361268640 is a wasteful number, since it uses less digits than its factorization.

2361268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26169 (or 26161 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2361268640 is about 48592.8867222354. The cubic root of 2361268640 is about 1331.6245699201.

The spelling of 2361268640 in words is "two billion, three hundred sixty-one million, two hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 577 1154 2308 2885 4616 5770 9232 11540 18464 23080 25577 46160 51154 92320 102308 127885 204616 255770 409232 511540 818464 1023080 2046160 4092320 14757929 29515858 59031716 73789645 118063432 147579290 236126864 295158580 472253728 590317160 1180634320 2361268640