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1307808 = 253219239
BaseRepresentation
bin100111111010010100000
32110102222100
410333102200
5313322213
644010400
714054565
oct4772240
92412870
101307808
11813637
12530a00
1336a368
1426086c
151ac773
hex13f4a0

1307808 has 72 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 411264.

The previous prime is 1307771. The next prime is 1307809. The reversal of 1307808 is 8087031.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1307809) 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, 5353 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

21307808 is an apocalyptic number.

1307808 is a gapful number since it is divisible by the number (18) 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 1307808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1307808 is an abundant number, since it is smaller than the sum of its proper divisors (2623392).

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

1307808 is a wasteful number, since it uses less digits than its factorization.

1307808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1307808 is about 1143.5943336691. The cubic root of 1307808 is about 109.3573547589.

The spelling of 1307808 in words is "one million, three hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 239 288 304 342 456 478 608 684 717 912 956 1368 1434 1824 1912 2151 2736 2868 3824 4302 4541 5472 5736 7648 8604 9082 11472 13623 17208 18164 22944 27246 34416 36328 40869 54492 68832 72656 81738 108984 145312 163476 217968 326952 435936 653904 1307808