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2732472260 = 2257214918713
BaseRepresentation
bin1010001011011110…
…0011011111000100
321001102121222021022
42202313203133010
521044003103020
61131050210312
7124466426300
oct24267433704
97042558238
102732472260
111182455941
12643123998
13347145abb
141bcc86d00
1510ed4b625
hexa2de37c4

2732472260 has 72 divisors (see below), whose sum is σ = 6720197400. Its totient is φ = 930510336.

The previous prime is 2732472241. The next prime is 2732472263. The reversal of 2732472260 is 622742372.

It can be written as a sum of positive squares in 4 ways, for example, as 181010116 + 2551462144 = 13454^2 + 50512^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2732472260.

It is not an unprimeable number, because it can be changed into a prime (2732472263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136664 + ... + 155376.

It is an arithmetic number, because the mean of its divisors is an integer number (93336075).

Almost surely, 22732472260 is an apocalyptic number.

2732472260 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 2732472260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360098700).

2732472260 is an abundant number, since it is smaller than the sum of its proper divisors (3987725140).

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

2732472260 is a wasteful number, since it uses less digits than its factorization.

2732472260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 2732472260 is about 52273.0548179461. The cubic root of 2732472260 is about 1398.0367481743.

The spelling of 2732472260 in words is "two billion, seven hundred thirty-two million, four hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 18713 20860 29204 36505 37426 73010 74852 93565 130991 146020 187130 261982 374260 523964 654955 916937 1309910 1833874 2619820 2788237 3667748 4584685 5576474 9169370 11152948 13941185 18338740 19517659 27882370 39035318 55764740 78070636 97588295 136623613 195176590 273247226 390353180 546494452 683118065 1366236130 2732472260