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2868450320 = 245297316937
BaseRepresentation
bin1010101011111001…
…0001010000010000
321101220111101002202
42222332101100100
521333310402240
61152344502332
7131040265631
oct25276212020
97356441082
102868450320
1112421901aa
1268077a9a8
133693755a8
141d2d61888
1511bc5b315
hexaaf91410

2868450320 has 80 divisors (see below), whose sum is σ = 6994038960. Its totient is φ = 1092575232.

The previous prime is 2868450317. The next prime is 2868450353. The reversal of 2868450320 is 230548682.

It can be written as a sum of positive squares in 8 ways, for example, as 30118144 + 2838332176 = 5488^2 + 53276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 160892 + ... + 177828.

It is an arithmetic number, because the mean of its divisors is an integer number (87425487).

Almost surely, 22868450320 is an apocalyptic number.

2868450320 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 2868450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497019480).

2868450320 is an abundant number, since it is smaller than the sum of its proper divisors (4125588640).

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

2868450320 is a wasteful number, since it uses less digits than its factorization.

2868450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17052 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2868450320 is about 53557.9155681025. The cubic root of 2868450320 is about 1420.8528765229.

The spelling of 2868450320 in words is "two billion, eight hundred sixty-eight million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 232 290 292 365 464 580 584 730 1160 1168 1460 2117 2320 2920 4234 5840 8468 10585 16936 16937 21170 33872 33874 42340 67748 84680 84685 135496 169360 169370 270992 338740 491173 677480 982346 1236401 1354960 1964692 2455865 2472802 3929384 4911730 4945604 6182005 7858768 9823460 9891208 12364010 19646920 19782416 24728020 35855629 39293840 49456040 71711258 98912080 143422516 179278145 286845032 358556290 573690064 717112580 1434225160 2868450320