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30986040 = 23351491733
BaseRepresentation
bin111011000110…
…0111100111000
32011022020212010
41312030330320
530413023130
63024045520
7524243211
oct166147470
964266763
1030986040
11165442a8
12a4638a0
13655ba47
144188408
152ac10b0
hex1d8cf38

30986040 has 64 divisors (see below), whose sum is σ = 93636000. Its totient is φ = 8202752.

The previous prime is 30986027. The next prime is 30986047. The reversal of 30986040 is 4068903.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30985989 and 30986007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30986047) 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, 17014 + ... + 18746.

Almost surely, 230986040 is an apocalyptic number.

30986040 is a gapful number since it is divisible by the number (30) 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 30986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46818000).

30986040 is an abundant number, since it is smaller than the sum of its proper divisors (62649960).

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

30986040 is a wasteful number, since it uses less digits than its factorization.

30986040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30986040 is about 5566.5105766539. The cubic root of 30986040 is about 314.0909036711.

The spelling of 30986040 in words is "thirty million, nine hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1733 1788 2235 2980 3466 3576 4470 5199 5960 6932 8665 8940 10398 13864 17330 17880 20796 25995 34660 41592 51990 69320 103980 207960 258217 516434 774651 1032868 1291085 1549302 2065736 2582170 3098604 3873255 5164340 6197208 7746510 10328680 15493020 30986040