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1340680 = 235112277
BaseRepresentation
bin101000111010100001000
32112010001211
411013110020
5320400210
644422504
714252455
oct5072410
92463054
101340680
11836300
12547a34
1337c303
1426c82c
151b738a
hex147508

1340680 has 48 divisors (see below), whose sum is σ = 3327660. Its totient is φ = 485760.

The previous prime is 1340653. The next prime is 1340681. The reversal of 1340680 is 860431.

It can be written as a sum of positive squares in 2 ways, for example, as 1258884 + 81796 = 1122^2 + 286^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1340681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4702 + ... + 4978.

21340680 is an apocalyptic number.

1340680 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 1340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663830).

1340680 is an abundant number, since it is smaller than the sum of its proper divisors (1986980).

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

1340680 is a wasteful number, since it uses less digits than its factorization.

1340680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1340680 is about 1157.8773682908. The cubic root of 1340680 is about 110.2660228014.

Subtracting from 1340680 its reverse (860431), we obtain a square (480249 = 6932).

The spelling of 1340680 in words is "one million, three hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 277 440 484 554 605 968 1108 1210 1385 2216 2420 2770 3047 4840 5540 6094 11080 12188 15235 24376 30470 33517 60940 67034 121880 134068 167585 268136 335170 670340 1340680