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2320721920 = 21151121873
BaseRepresentation
bin1000101001010011…
…0110100000000000
312222201211212222201
42022110312200000
514223101100140
61022141042544
7111336545056
oct21224664000
95881755881
102320721920
11a90a94800
12549256454
132aca4c04a
141803041d6
15d8b1649a
hex8a536800

2320721920 has 144 divisors (see below), whose sum is σ = 6123875940. Its totient is φ = 843448320.

The previous prime is 2320721891. The next prime is 2320721939. The reversal of 2320721920 is 291270232.

It can be written as a sum of positive squares in 2 ways, for example, as 1998447616 + 322274304 = 44704^2 + 17952^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 1238104 + ... + 1239976.

Almost surely, 22320721920 is an apocalyptic number.

2320721920 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 2320721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061937970).

2320721920 is an abundant number, since it is smaller than the sum of its proper divisors (3803154020).

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

2320721920 is a wasteful number, since it uses less digits than its factorization.

2320721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2320721920 is about 48173.8717563785. The cubic root of 2320721920 is about 1323.9584875768.

The spelling of 2320721920 in words is "two billion, three hundred twenty million, seven hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1408 1760 1873 1936 2048 2420 2560 2816 3520 3746 3872 4840 5120 5632 7040 7492 7744 9365 9680 10240 11264 14080 14984 15488 18730 19360 20603 22528 28160 29968 30976 37460 38720 41206 56320 59936 61952 74920 77440 82412 103015 112640 119872 123904 149840 154880 164824 206030 226633 239744 247808 299680 309760 329648 412060 453266 479488 599360 619520 659296 824120 906532 958976 1133165 1198720 1239040 1318592 1648240 1813064 1917952 2266330 2397440 2637184 3296480 3626128 3835904 4532660 4794880 5274368 6592960 7252256 9065320 9589760 10548736 13185920 14504512 18130640 19179520 21097472 26371840 29009024 36261280 42194944 52743680 58018048 72522560 105487360 116036096 145045120 210974720 232072192 290090240 464144384 580180480 1160360960 2320721920