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2320555840 = 265312231049
BaseRepresentation
bin1000101001010000…
…1101111101000000
312222201112110011121
42022110031331000
514223030241330
61022133322024
7111335253631
oct21224157500
95881473147
102320555840
11a90990a49
12549196314
132ac9c1585
1418029d888
15d8ad217a
hex8a50df40

2320555840 has 112 divisors (see below), whose sum is σ = 5735116800. Its totient is φ = 893399040.

The previous prime is 2320555807. The next prime is 2320555849. The reversal of 2320555840 is 485550232.

It is a junction number, because it is equal to n+sod(n) for n = 2320555796 and 2320555805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320555849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211636 + ... + 2212684.

It is an arithmetic number, because the mean of its divisors is an integer number (51206400).

Almost surely, 22320555840 is an apocalyptic number.

2320555840 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 2320555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867558400).

2320555840 is an abundant number, since it is smaller than the sum of its proper divisors (3414560960).

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

2320555840 is a wasteful number, since it uses less digits than its factorization.

2320555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 2320555840 is about 48172.1479695477. The cubic root of 2320555840 is about 1323.9269042622.

The spelling of 2320555840 in words is "two billion, three hundred twenty million, five hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 223 248 310 320 446 496 620 892 992 1049 1115 1240 1784 1984 2098 2230 2480 3568 4196 4460 4960 5245 6913 7136 8392 8920 9920 10490 13826 14272 16784 17840 20980 27652 32519 33568 34565 35680 41960 55304 65038 67136 69130 71360 83920 110608 130076 138260 162595 167840 221216 233927 260152 276520 325190 335680 442432 467854 520304 553040 650380 935708 1040608 1106080 1169635 1300760 1871416 2081216 2212160 2339270 2601520 3742832 4678540 5203040 7251737 7485664 9357080 10406080 14503474 14971328 18714160 29006948 36258685 37428320 58013896 72517370 74856640 116027792 145034740 232055584 290069480 464111168 580138960 1160277920 2320555840