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2115002304 = 263225114629
BaseRepresentation
bin111111000010000…
…0101111111000000
312110101202020201200
41332010011333000
513312420033204
6545511501200
7103261136322
oct17604057700
95411666650
102115002304
11995955598
124b0387800
1327924156c
14160c73612
15c5a2c539
hex7e105fc0

2115002304 has 84 divisors (see below), whose sum is σ = 6086840760. Its totient is φ = 702144000.

The previous prime is 2115002297. The next prime is 2115002321. The reversal of 2115002304 is 4032005112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137262 + ... + 151890.

It is an arithmetic number, because the mean of its divisors is an integer number (72462390).

Almost surely, 22115002304 is an apocalyptic number.

2115002304 is a gapful number since it is divisible by the number (24) 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 2115002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043420380).

2115002304 is an abundant number, since it is smaller than the sum of its proper divisors (3971838456).

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

2115002304 is a wasteful number, since it uses less digits than its factorization.

2115002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2115002304 is about 45989.1541996589. The cubic root of 2115002304 is about 1283.6213982604.

Adding to 2115002304 its reverse (4032005112), we get a palindrome (6147007416).

The spelling of 2115002304 in words is "two billion, one hundred fifteen million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 251 288 502 576 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 14629 16064 18072 24096 29258 36144 43887 48192 58516 72288 87774 117032 131661 144576 175548 234064 263322 351096 468128 526644 702192 936256 1053288 1404384 2106576 2808768 3671879 4213152 7343758 8426304 11015637 14687516 22031274 29375032 33046911 44062548 58750064 66093822 88125096 117500128 132187644 176250192 235000256 264375288 352500384 528750576 705000768 1057501152 2115002304