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1304680 = 235132193
BaseRepresentation
bin100111110100001101000
32110021200111
410332201220
5313222210
643544104
714042506
oct4764150
92407614
101304680
11811253
1252b034
13368b00
1425d676
151ab88a
hex13e868

1304680 has 48 divisors (see below), whose sum is σ = 3195180. Its totient is φ = 479232.

The previous prime is 1304669. The next prime is 1304687. The reversal of 1304680 is 864031.

It can be written as a sum of positive squares in 6 ways, for example, as 45796 + 1258884 = 214^2 + 1122^2 .

It is not an unprimeable number, because it can be changed into a prime (1304687) 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, 6664 + ... + 6856.

21304680 is an apocalyptic number.

1304680 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 1304680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597590).

1304680 is an abundant number, since it is smaller than the sum of its proper divisors (1890500).

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

1304680 is a wasteful number, since it uses less digits than its factorization.

1304680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

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

The square root of 1304680 is about 1142.2258970974. The cubic root of 1304680 is about 109.2700986051.

It can be divided in two parts, 130 and 4680, that multiplied together give a square (608400 = 7802).

The spelling of 1304680 in words is "one million, three hundred four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 193 260 338 386 520 676 772 845 965 1352 1544 1690 1930 2509 3380 3860 5018 6760 7720 10036 12545 20072 25090 32617 50180 65234 100360 130468 163085 260936 326170 652340 1304680