Search a number
-
+
31200072 = 2331976599
BaseRepresentation
bin111011100000…
…1001101001000
32011201010110020
41313001031020
530441400242
63032420440
7526124211
oct167011510
964633406
1031200072
1116680092
12a547720
1366052a7
144202408
152b146ec
hex1dc1348

31200072 has 32 divisors (see below), whose sum is σ = 78408000. Its totient is φ = 10345664.

The previous prime is 31200061. The next prime is 31200077. The reversal of 31200072 is 27000213.

It is not an unprimeable number, because it can be changed into a prime (31200077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 8027.

It is an arithmetic number, because the mean of its divisors is an integer number (2450250).

Almost surely, 231200072 is an apocalyptic number.

It is an amenable number.

31200072 is an abundant number, since it is smaller than the sum of its proper divisors (47207928).

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

31200072 is a wasteful number, since it uses less digits than its factorization.

31200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 31200072 is about 5585.7024625377. The cubic root of 31200072 is about 314.8124254893.

Adding to 31200072 its reverse (27000213), we get a palindrome (58200285).

The spelling of 31200072 in words is "thirty-one million, two hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 4728 6599 13198 19797 26396 39594 52792 79188 158376 1300003 2600006 3900009 5200012 7800018 10400024 15600036 31200072