Search a number
-
+
742728060 = 223254126267
BaseRepresentation
bin101100010001010…
…010000101111100
31220202120111100200
4230101102011330
53010114244220
6201411123500
724256040634
oct5421220574
91822514320
10742728060
11351283648
121888a3590
13bab4c879
14708db6c4
1545312890
hex2c45217c

742728060 has 36 divisors (see below), whose sum is σ = 2252942328. Its totient is φ = 198060768.

The previous prime is 742728053. The next prime is 742728097. The reversal of 742728060 is 60827247.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7427280602 = 1103289942222727200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2062954 + ... + 2063313.

Almost surely, 2742728060 is an apocalyptic number.

It is an amenable number.

742728060 is an abundant number, since it is smaller than the sum of its proper divisors (1510214268).

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

742728060 is a wasteful number, since it uses less digits than its factorization.

742728060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126282 (or 4126277 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 742728060 is about 27253.0376288589. The cubic root of 742728060 is about 905.6143118074.

The spelling of 742728060 in words is "seven hundred forty-two million, seven hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4126267 8252534 12378801 16505068 20631335 24757602 37136403 41262670 49515204 61894005 74272806 82525340 123788010 148545612 185682015 247576020 371364030 742728060