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2924122640 = 24536551533
BaseRepresentation
bin1010111001001010…
…1001001000010000
321112210020211011112
42232102221020100
521442033411030
61202054032452
7132314426615
oct25622511020
97483224145
102924122640
11127065568a
12697348728
13377a687aa
141da4d450c
15121aa6a95
hexae4a9210

2924122640 has 20 divisors (see below), whose sum is σ = 6798585324. Its totient is φ = 1169649024.

The previous prime is 2924122637. The next prime is 2924122651. The reversal of 2924122640 is 462214292.

It can be written as a sum of positive squares in 2 ways, for example, as 2038703104 + 885419536 = 45152^2 + 29756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2924122597 and 2924122606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18275687 + ... + 18275846.

Almost surely, 22924122640 is an apocalyptic number.

2924122640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2924122640 is an abundant number, since it is smaller than the sum of its proper divisors (3874462684).

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

2924122640 is a wasteful number, since it uses less digits than its factorization.

2924122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36551546 (or 36551540 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2924122640 is about 54075.1573275566. The cubic root of 2924122640 is about 1429.9862485841.

The spelling of 2924122640 in words is "two billion, nine hundred twenty-four million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 36551533 73103066 146206132 182757665 292412264 365515330 584824528 731030660 1462061320 2924122640