Search a number
-
+
749420 = 225753101
BaseRepresentation
bin10110110111101101100
31102002000022
42312331230
5142440140
624021312
76240620
oct2667554
91362008
10749420
11472061
12301838
13203159
14157180
15ec0b5
hexb6f6c

749420 has 48 divisors (see below), whose sum is σ = 1850688. Its totient is φ = 249600.

The previous prime is 749401. The next prime is 749423. The reversal of 749420 is 24947.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 749420.

It is not an unprimeable number, because it can be changed into a prime (749423) by changing a digit.

749420 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 7370 + ... + 7470.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2749420 is an apocalyptic number.

749420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

749420 is the 707-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344).

749420 is an abundant number, since it is smaller than the sum of its proper divisors (1101268).

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

749420 is a wasteful number, since it uses less digits than its factorization.

749420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 749420 is about 865.6904758631. The cubic root of 749420 is about 90.8326029363.

The spelling of 749420 in words is "seven hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 101 106 140 202 212 265 371 404 505 530 707 742 1010 1060 1414 1484 1855 2020 2828 3535 3710 5353 7070 7420 10706 14140 21412 26765 37471 53530 74942 107060 149884 187355 374710 749420