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1366920 = 233253797
BaseRepresentation
bin101001101101110001000
32120110001200
411031232020
5322220140
645144200
714422122
oct5155610
92513050
101366920
11853a95
1255b060
1338b239
14278212
151c0030
hex14db88

1366920 has 48 divisors (see below), whose sum is σ = 4443660. Its totient is φ = 364416.

The previous prime is 1366907. The next prime is 1366921. The reversal of 1366920 is 296631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1153476 + 213444 = 1074^2 + 462^2 .

It is not an unprimeable number, because it can be changed into a prime (1366921) 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, 1539 + ... + 2258.

21366920 is an apocalyptic number.

1366920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1366920 is an abundant number, since it is smaller than the sum of its proper divisors (3076740).

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

1366920 is a wasteful number, since it uses less digits than its factorization.

1366920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1366920 is about 1169.1535399596. The cubic root of 1366920 is about 110.9807612140.

It can be divided in two parts, 13669 and 20, that added together give a square (13689 = 1172).

The spelling of 1366920 in words is "one million, three hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3797 7594 11391 15188 18985 22782 30376 34173 37970 45564 56955 68346 75940 91128 113910 136692 151880 170865 227820 273384 341730 455640 683460 1366920