Search a number
-
+
1412490240 = 210325729151
BaseRepresentation
bin101010000110000…
…1110010000000000
310122102211221100100
41110030032100000
510343044141430
6352054322400
750000653230
oct12414162000
93572757310
101412490240
1166534a907
12335059400
13196832955
14d5843cc0
1584010960
hex5430e400

1412490240 has 528 divisors, whose sum is σ = 5824615680. Its totient is φ = 309657600.

The previous prime is 1412490199. The next prime is 1412490257. The reversal of 1412490240 is 420942141.

It is a happy number.

1412490240 is a `hidden beast` number, since 1 + 412 + 4 + 9 + 0 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9354165 + ... + 9354315.

Almost surely, 21412490240 is an apocalyptic number.

1412490240 is a gapful number since it is divisible by the number (10) 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 1412490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912307840).

1412490240 is an abundant number, since it is smaller than the sum of its proper divisors (4412125440).

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

1412490240 is a wasteful number, since it uses less digits than its factorization.

1412490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1412490240 is about 37583.1111005994. Note that the first 4 decimals coincide. The cubic root of 1412490240 is about 1122.0059290296.

The spelling of 1412490240 in words is "one billion, four hundred twelve million, four hundred ninety thousand, two hundred forty".