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916380 = 223351697
BaseRepresentation
bin11011111101110011100
31201120001000
43133232130
5213311010
631350300
710534443
oct3375634
91646030
10916380
11576543
12382390
1326114a
1419bd5a
151317c0
hexdfb9c

916380 has 48 divisors (see below), whose sum is σ = 2852640. Its totient is φ = 244224.

The previous prime is 916367. The next prime is 916387. The reversal of 916380 is 83619.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (59430).

2916380 is an apocalyptic number.

916380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

916380 is an abundant number, since it is smaller than the sum of its proper divisors (1936260).

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

916380 is a wasteful number, since it uses less digits than its factorization.

916380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 916380 is about 957.2773892660. The cubic root of 916380 is about 97.1311507561.

Adding to 916380 its reverse (83619), we get a palindrome (999999).

It can be divided in two parts, 916 and 380, that added together give a 4-th power (1296 = 64).

The spelling of 916380 in words is "nine hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1697 3394 5091 6788 8485 10182 15273 16970 20364 25455 30546 33940 45819 50910 61092 76365 91638 101820 152730 183276 229095 305460 458190 916380