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30870 = 232573
BaseRepresentation
bin111100010010110
31120100100
413202112
51441440
6354530
7156000
oct74226
946310
1030870
1121214
1215a46
1311088
14b370
159230
hex7896

30870 has 48 divisors (see below), whose sum is σ = 93600. Its totient is φ = 7056.

The previous prime is 30869. The next prime is 30871. The reversal of 30870 is 7803.

It can be divided in two parts, 308 and 70, that added together give a triangular number (378 = T27).

It is an interprime number because it is at equal distance from previous prime (30869) and next prime (30871).

It is a super-3 number, since 3×308703 = 88253338509000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407 + ... + 4413.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

230870 is an apocalyptic number.

30870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46800).

30870 is an abundant number, since it is smaller than the sum of its proper divisors (62730).

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

30870 is a wasteful number, since it uses less digits than its factorization.

30870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30870 is about 175.6986055722. The cubic root of 30870 is about 31.3698332259.

The spelling of 30870 in words is "thirty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 15435 30870