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2920089460 = 2252944911213
BaseRepresentation
bin1010111000001101…
…0000011101110100
321112111122220200111
42232003100131310
521440020330320
61201431352404
7132235231231
oct25603203564
97474586614
102920089460
111269350482
12695b22704
13376c85ab2
141d9b64788
1512155ba5a
hexae0d0774

2920089460 has 48 divisors (see below), whose sum is σ = 6358338000. Its totient is φ = 1125146624.

The previous prime is 2920089457. The next prime is 2920089463. The reversal of 2920089460 is 649800292.

It is an interprime number because it is at equal distance from previous prime (2920089457) and next prime (2920089463).

It can be written as a sum of positive squares in 8 ways, for example, as 246992656 + 2673096804 = 15716^2 + 51702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920089463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254814 + ... + 266026.

It is an arithmetic number, because the mean of its divisors is an integer number (132465375).

Almost surely, 22920089460 is an apocalyptic number.

2920089460 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 2920089460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179169000).

2920089460 is an abundant number, since it is smaller than the sum of its proper divisors (3438248540).

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

2920089460 is a wasteful number, since it uses less digits than its factorization.

2920089460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2920089460 is about 54037.8521038725. The cubic root of 2920089460 is about 1429.3284962374.

The spelling of 2920089460 in words is "two billion, nine hundred twenty million, eighty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 449 580 898 1796 2245 4490 8980 11213 13021 22426 26042 44852 52084 56065 65105 112130 130210 224260 260420 325177 650354 1300708 1625885 3251770 5034637 6503540 10069274 20138548 25173185 50346370 100692740 146004473 292008946 584017892 730022365 1460044730 2920089460