Search a number
-
+
31460000 = 255411213
BaseRepresentation
bin111100000000…
…0101010100000
32012012100000012
41320000222200
531023210000
63042144052
7531256055
oct170005240
965170005
1031460000
1116838400
12a652028
1366966b0
14426d02c
152b66735
hex1e00aa0

31460000 has 180 divisors, whose sum is σ = 91615986. Its totient is φ = 10560000.

The previous prime is 31459999. The next prime is 31460017. The reversal of 31460000 is 6413.

It can be written as a sum of positive squares in 5 ways, for example, as 234256 + 31225744 = 484^2 + 5588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2419994 + ... + 2420006.

Almost surely, 231460000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45807993).

31460000 is an abundant number, since it is smaller than the sum of its proper divisors (60155986).

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

31460000 is a wasteful number, since it uses less digits than its factorization.

31460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 31460000 is about 5608.9214649521. The cubic root of 31460000 is about 315.6842436907.

Adding to 31460000 its reverse (6413), we get a palindrome (31466413).

The spelling of 31460000 in words is "thirty-one million, four hundred sixty thousand".