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2920313088 = 28347113159
BaseRepresentation
bin1010111000010000…
…0111000100000000
321112112002021110000
42232010013010000
521440100004323
61201440240000
7132240152220
oct25604070400
97475067400
102920313088
1112694934a0
12696010000
13377033814
141d9bc2080
151215a2e43
hexae107100

2920313088 has 720 divisors, whose sum is σ = 11396689920. Its totient is φ = 721612800.

The previous prime is 2920313041. The next prime is 2920313153. The reversal of 2920313088 is 8803130292.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49496803 + ... + 49496861.

It is an arithmetic number, because the mean of its divisors is an integer number (15828736).

Almost surely, 22920313088 is an apocalyptic number.

2920313088 is a gapful number since it is divisible by the number (28) 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 2920313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698344960).

2920313088 is an abundant number, since it is smaller than the sum of its proper divisors (8476376832).

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

2920313088 is a wasteful number, since it uses less digits than its factorization.

2920313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2920313088 is about 54039.9212434659. The cubic root of 2920313088 is about 1429.3649825298.

The spelling of 2920313088 in words is "two billion, nine hundred twenty million, three hundred thirteen thousand, eighty-eight".