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30982640 = 24513313
BaseRepresentation
bin111011000110…
…0000111110000
32011022002012012
41312030013300
530412421030
63024022052
7524230253
oct166140760
964262165
1030982640
1116541797
12a461928
13655a330
14418709a
152ac0095
hex1d8c1f0

30982640 has 80 divisors (see below), whose sum is σ = 80161536. Its totient is φ = 11070720.

The previous prime is 30982639. The next prime is 30982649. The reversal of 30982640 is 4628903.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30982597 and 30982606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30982649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999425 + ... + 999455.

Almost surely, 230982640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40080768).

30982640 is an abundant number, since it is smaller than the sum of its proper divisors (49178896).

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

30982640 is an equidigital number, since it uses as much as digits as its factorization.

30982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 30982640 is about 5566.2051704909. The cubic root of 30982640 is about 314.0794151843.

The spelling of 30982640 in words is "thirty million, nine hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 961 1040 1240 1612 1922 2015 2480 3224 3844 4030 4805 6448 7688 8060 9610 12493 15376 16120 19220 24986 29791 32240 38440 49972 59582 62465 76880 99944 119164 124930 148955 199888 238328 249860 297910 387283 476656 499720 595820 774566 999440 1191640 1549132 1936415 2383280 3098264 3872830 6196528 7745660 15491320 30982640