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2714869920 = 25357807997
BaseRepresentation
bin1010000111010001…
…1010000010100000
321000012111200101210
42201310122002200
521030001314140
61125221030120
7124164004440
oct24164320240
97005450353
102714869920
111173522a54
12639255340
133435c1b09
141ba7c4120
1510d520d80
hexa1d1a0a0

2714869920 has 96 divisors (see below), whose sum is σ = 9773543808. Its totient is φ = 620540928.

The previous prime is 2714869907. The next prime is 2714869939. The reversal of 2714869920 is 299684172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2714869920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400639 + ... + 407358.

It is an arithmetic number, because the mean of its divisors is an integer number (101807748).

Almost surely, 22714869920 is an apocalyptic number.

2714869920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2714869920 is an abundant number, since it is smaller than the sum of its proper divisors (7058673888).

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

2714869920 is a wasteful number, since it uses less digits than its factorization.

2714869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808022 (or 808014 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2714869920 is about 52104.4136326281. The cubic root of 2714869920 is about 1395.0282698758.

The spelling of 2714869920 in words is "two billion, seven hundred fourteen million, eight hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 807997 1615994 2423991 3231988 4039985 4847982 5655979 6463976 8079970 9695964 11311958 12119955 12927952 16159940 16967937 19391928 22623916 24239910 25855904 28279895 32319880 33935874 38783856 45247832 48479820 56559790 64639760 67871748 77567712 84839685 90495664 96959640 113119580 129279520 135743496 169679370 180991328 193919280 226239160 271486992 339358740 387838560 452478320 542973984 678717480 904956640 1357434960 2714869920