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2920002920 = 235731019901
BaseRepresentation
bin1010111000001011…
…1011010101101000
321112111111111222022
42232002323111220
521440010043140
61201425444012
7132234421022
oct25602732550
97474444868
102920002920
1112692a145a
12695aa0608
13376c555a3
141d9b41012
151215410b5
hexae0bb568

2920002920 has 64 divisors (see below), whose sum is σ = 6726626640. Its totient is φ = 1140480000.

The previous prime is 2920002919. The next prime is 2920002959. The reversal of 2920002920 is 292000292.

2920002920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2758560484 + 161442436 = 52522^2 + 12706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2920002920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289970 + ... + 299870.

Almost surely, 22920002920 is an apocalyptic number.

2920002920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2920002920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363313320).

2920002920 is an abundant number, since it is smaller than the sum of its proper divisors (3806623720).

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

2920002920 is a wasteful number, since it uses less digits than its factorization.

2920002920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2920002920 is about 54037.0513629306. The cubic root of 2920002920 is about 1429.3143762008.

It can be divided in two parts, 292000 and 2920, that multiplied together give a square (852640000 = 292002).

The spelling of 2920002920 in words is "two billion, nine hundred twenty million, two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 101 146 202 292 365 404 505 584 730 808 1010 1460 2020 2920 4040 7373 9901 14746 19802 29492 36865 39604 49505 58984 73730 79208 99010 147460 198020 294920 396040 722773 1000001 1445546 2000002 2891092 3613865 4000004 5000005 5782184 7227730 8000008 10000010 14455460 20000020 28910920 40000040 73000073 146000146 292000292 365000365 584000584 730000730 1460001460 2920002920