Search a number
-
+
748728720 = 243251039901
BaseRepresentation
bin101100101000001…
…011000110010000
31221011212100201100
4230220023012100
53013133304340
6202143504400
724361042365
oct5450130620
91834770640
10748728720
11354701a73
1218a8b8100
13bc170c5c
147162046c
1545aea830
hex2ca0b190

748728720 has 60 divisors (see below), whose sum is σ = 2514483036. Its totient is φ = 199660800.

The previous prime is 748728697. The next prime is 748728727. The reversal of 748728720 is 27827847.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 609299856 = 11808^2 + 24684^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (748728727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 519231 + ... + 520670.

Almost surely, 2748728720 is an apocalyptic number.

It is an amenable number.

748728720 is an abundant number, since it is smaller than the sum of its proper divisors (1765754316).

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

748728720 is a wasteful number, since it uses less digits than its factorization.

748728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039920 (or 1039911 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 748728720 is about 27362.9077402238. The cubic root of 748728720 is about 908.0466574122.

The spelling of 748728720 in words is "seven hundred forty-eight million, seven hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1039901 2079802 3119703 4159604 5199505 6239406 8319208 9359109 10399010 12478812 15598515 16638416 18718218 20798020 24957624 31197030 37436436 41596040 46795545 49915248 62394060 74872872 83192080 93591090 124788120 149745744 187182180 249576240 374364360 748728720