Search a number
-
+
31530000 = 243541051
BaseRepresentation
bin111100001000…
…1110000010000
32012022220000210
41320101300100
531032430000
63043444120
7532000125
oct170216020
965286023
1031530000
1116885a57
12a686640
1366bc508
14428a74c
152b7c350
hex1e11c10

31530000 has 100 divisors (see below), whose sum is σ = 101879888. Its totient is φ = 8400000.

The previous prime is 31529977. The next prime is 31530001. The reversal of 31530000 is 3513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (31530001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29475 + ... + 30525.

Almost surely, 231530000 is an apocalyptic number.

31530000 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 31530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939944).

31530000 is an abundant number, since it is smaller than the sum of its proper divisors (70349888).

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

31530000 is a wasteful number, since it uses less digits than its factorization.

31530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 31530000 is about 5615.1580565466. The cubic root of 31530000 is about 315.9182077473.

Adding to 31530000 its reverse (3513), we get a palindrome (31533513).

The spelling of 31530000 in words is "thirty-one million, five hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1051 1200 1250 1500 1875 2000 2102 2500 3000 3153 3750 4204 5000 5255 6000 6306 7500 8408 10000 10510 12612 15000 15765 16816 21020 25224 26275 30000 31530 42040 50448 52550 63060 78825 84080 105100 126120 131375 157650 210200 252240 262750 315300 394125 420400 525500 630600 656875 788250 1051000 1261200 1313750 1576500 1970625 2102000 2627500 3153000 3941250 5255000 6306000 7882500 10510000 15765000 31530000