Search a number
-
+
1410426240 = 27351923412
BaseRepresentation
bin101010000010001…
…0110010110000000
310122021222002001220
41110010112112000
510342032114430
6351542155040
746644265566
oct12404262600
93567862056
101410426240
11664170123
12334422a80
1319628c352
14d5467a36
1583c54110
hex54116580

1410426240 has 384 divisors, whose sum is σ = 5061484800. Its totient is φ = 332513280.

The previous prime is 1410426229. The next prime is 1410426247. The reversal of 1410426240 is 426240141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1410426240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410426247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34400620 + ... + 34400660.

It is an arithmetic number, because the mean of its divisors is an integer number (13180950).

Almost surely, 21410426240 is an apocalyptic number.

1410426240 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 1410426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530742400).

1410426240 is an abundant number, since it is smaller than the sum of its proper divisors (3651058560).

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

1410426240 is a wasteful number, since it uses less digits than its factorization.

1410426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1410426240 is about 37555.6419196903. The cubic root of 1410426240 is about 1121.4591525906.

Adding to 1410426240 its reverse (426240141), we get a palindrome (1836666381).

The spelling of 1410426240 in words is "one billion, four hundred ten million, four hundred twenty-six thousand, two hundred forty".