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30131400 = 23352133863
BaseRepresentation
bin111001011110…
…0010011001000
32002200211111210
41302330103020
530203201100
62553453120
7514053435
oct162742310
962624453
1030131400
1116010192
12a1111a0
13631ca40
144004b8c
1529a2c50
hex1cbc4c8

30131400 has 96 divisors (see below), whose sum is σ = 100618560. Its totient is φ = 7415040.

The previous prime is 30131389. The next prime is 30131419. The reversal of 30131400 is 413103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5869 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (1048110).

Almost surely, 230131400 is an apocalyptic number.

30131400 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 30131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50309280).

30131400 is an abundant number, since it is smaller than the sum of its proper divisors (70487160).

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

30131400 is a wasteful number, since it uses less digits than its factorization.

30131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30131400 is about 5489.2075930866. The cubic root of 30131400 is about 311.1762458106.

Adding to 30131400 its reverse (413103), we get a palindrome (30544503).

The spelling of 30131400 in words is "thirty million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3863 3900 7726 7800 11589 15452 19315 23178 30904 38630 46356 50219 57945 77260 92712 96575 100438 115890 150657 154520 193150 200876 231780 251095 289725 301314 386300 401752 463560 502190 579450 602628 753285 772600 1004380 1158900 1205256 1255475 1506570 2008760 2317800 2510950 3013140 3766425 5021900 6026280 7532850 10043800 15065700 30131400