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1308672 = 2113271
BaseRepresentation
bin100111111100000000000
32110111011100
410333200000
5313334142
644014400
714060241
oct4774000
92414140
101308672
11814252
12531400
1336a881
14260cc8
151acb4c
hex13f800

1308672 has 72 divisors (see below), whose sum is σ = 3832920. Its totient is φ = 430080.

The previous prime is 1308649. The next prime is 1308691. The reversal of 1308672 is 2768031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18397 + ... + 18467.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

21308672 is an apocalyptic number.

1308672 is a gapful number since it is divisible by the number (12) 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 1308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916460).

1308672 is an abundant number, since it is smaller than the sum of its proper divisors (2524248).

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

1308672 is an equidigital number, since it uses as much as digits as its factorization.

1308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1308672 is about 1143.9720276300. The cubic root of 1308672 is about 109.3814316762.

The spelling of 1308672 in words is "one million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 2048 2272 2304 2556 3072 3408 4544 4608 5112 6144 6816 9088 9216 10224 13632 18176 18432 20448 27264 36352 40896 54528 72704 81792 109056 145408 163584 218112 327168 436224 654336 1308672