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1380840 = 233537311
BaseRepresentation
bin101010001000111101000
32121011011020
411101013220
5323141330
645332440
714510526
oct5210750
92534136
101380840
1186349a
12567120
13394686
1427d316
151c4210
hex1511e8

1380840 has 64 divisors (see below), whose sum is σ = 4268160. Its totient is φ = 357120.

The previous prime is 1380817. The next prime is 1380853. The reversal of 1380840 is 480831.

1380840 = T155 + T156 + ... + T228.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1380840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4285 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

21380840 is an apocalyptic number.

1380840 is a gapful number since it is divisible by the number (10) 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 1380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134080).

1380840 is an abundant number, since it is smaller than the sum of its proper divisors (2887320).

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

1380840 is a wasteful number, since it uses less digits than its factorization.

1380840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1380840 is about 1175.0914858001. The cubic root of 1380840 is about 111.3562130021.

Subtracting from 1380840 its reverse (480831), we obtain a palindrome (900009).

The spelling of 1380840 in words is "one million, three hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 311 370 444 555 622 740 888 933 1110 1244 1480 1555 1866 2220 2488 3110 3732 4440 4665 6220 7464 9330 11507 12440 18660 23014 34521 37320 46028 57535 69042 92056 115070 138084 172605 230140 276168 345210 460280 690420 1380840