Search a number
-
+
1359498240 = 210325163181
BaseRepresentation
bin101000100001000…
…0100110000000000
310111202010122222200
41101002010300000
510241012420430
6342522433200
745455354502
oct12102046000
93452118880
101359498240
11638446171
1231b362800
1318886a739
14cc7abd72
157e544460
hex51084c00

1359498240 has 264 divisors, whose sum is σ = 4765710768. Its totient is φ = 358318080.

The previous prime is 1359498227. The next prime is 1359498253. The reversal of 1359498240 is 428949531.

1359498240 is a `hidden beast` number, since 13 + 594 + 9 + 8 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1359498227) and next prime (1359498253).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7510950 + ... + 7511130.

Almost surely, 21359498240 is an apocalyptic number.

1359498240 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 1359498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382855384).

1359498240 is an abundant number, since it is smaller than the sum of its proper divisors (3406212528).

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

1359498240 is a wasteful number, since it uses less digits than its factorization.

1359498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1359498240 is about 36871.3742624275. The cubic root of 1359498240 is about 1107.7953807219.

The spelling of 1359498240 in words is "one billion, three hundred fifty-nine million, four hundred ninety-eight thousand, two hundred forty".