Search a number
-
+
907380 = 22325712
BaseRepresentation
bin11011101100001110100
31201002200200
43131201310
5213014010
631240500
710466265
oct3354164
91632620
10907380
1156a801
12379130
1325a016
1419896c
1512dcc0
hexdd874

907380 has 54 divisors (see below), whose sum is σ = 2791698. Its totient is φ = 238560.

The previous prime is 907369. The next prime is 907391. The reversal of 907380 is 83709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (907369) and next prime (907391).

It can be written as a sum of positive squares in only one way, i.e., 725904 + 181476 = 852^2 + 426^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

907380 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12745 + ... + 12815.

2907380 is an apocalyptic number.

907380 is a gapful number since it is divisible by the number (90) 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 907380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395849).

907380 is an abundant number, since it is smaller than the sum of its proper divisors (1884318).

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

907380 is a wasteful number, since it uses less digits than its factorization.

907380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 907380 is about 952.5649584149. The cubic root of 907380 is about 96.8121208327.

The spelling of 907380 in words is "nine hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 5041 6390 10082 12780 15123 20164 25205 30246 45369 50410 60492 75615 90738 100820 151230 181476 226845 302460 453690 907380