[go: up one dir, main page]

Search a number
-
+
64137500 = 22557733
BaseRepresentation
bin1111010010101…
…0100100011100
311110200112002222
43310222210130
5112404400000
610210404512
71406105540
oct364524434
9143615088
1064137500
11332274a9
1219590738
13103982ab
148737a20
15596da85
hex3d2a91c

64137500 has 72 divisors (see below), whose sum is σ = 160552224. Its totient is φ = 21960000.

The previous prime is 64137449. The next prime is 64137511. The reversal of 64137500 is 573146.

64137500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641375002 = 8227237812500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64137500.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 87134 + ... + 87866.

It is an arithmetic number, because the mean of its divisors is an integer number (2229892).

Almost surely, 264137500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80276112).

64137500 is an abundant number, since it is smaller than the sum of its proper divisors (96414724).

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

64137500 is an equidigital number, since it uses as much as digits as its factorization.

64137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 64137500 is about 8008.5891391680. The cubic root of 64137500 is about 400.2862534319.

The spelling of 64137500 in words is "sixty-four million, one hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 733 875 1250 1466 1750 2500 2932 3125 3500 3665 4375 5131 6250 7330 8750 10262 12500 14660 17500 18325 20524 21875 25655 36650 43750 51310 73300 87500 91625 102620 128275 183250 256550 366500 458125 513100 641375 916250 1282750 1832500 2290625 2565500 3206875 4581250 6413750 9162500 12827500 16034375 32068750 64137500