Search a number
-
+
742700 = 225271061
BaseRepresentation
bin10110101010100101100
31101201210102
42311110230
5142231300
623530232
76212210
oct2652454
91351712
10742700
11468002
122b9978
1320008a
14154940
15ea0d5
hexb552c

742700 has 36 divisors (see below), whose sum is σ = 1843632. Its totient is φ = 254400.

The previous prime is 742699. The next prime is 742711. The reversal of 742700 is 7247.

742700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (51212).

2742700 is an apocalyptic number.

742700 is a gapful number since it is divisible by the number (70) 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 742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921816).

742700 is an abundant number, since it is smaller than the sum of its proper divisors (1100932).

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

742700 is a wasteful number, since it uses less digits than its factorization.

742700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 742700 is about 861.8004409375. The cubic root of 742700 is about 90.5602907069.

Adding to 742700 its reverse (7247), we get a palindrome (749947).

The spelling of 742700 in words is "seven hundred forty-two thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1061 2122 4244 5305 7427 10610 14854 21220 26525 29708 37135 53050 74270 106100 148540 185675 371350 742700