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1350250440 = 2335711295039
BaseRepresentation
bin101000001111011…
…0010111111001000
310111002201211101120
41100132302333020
510231131003230
6341552315240
745313640130
oct12036627710
93432654346
101350250440
116331aa160
12318242b20
13186980376
14cb481ac0
157d819310
hex507b2fc8

1350250440 has 256 divisors, whose sum is σ = 5225472000. Its totient is φ = 270842880.

The previous prime is 1350250427. The next prime is 1350250487. The reversal of 1350250440 is 440520531.

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 1350250440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265441 + ... + 270479.

It is an arithmetic number, because the mean of its divisors is an integer number (20412000).

Almost surely, 21350250440 is an apocalyptic number.

1350250440 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 1350250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736000).

1350250440 is an abundant number, since it is smaller than the sum of its proper divisors (3875221560).

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

1350250440 is a wasteful number, since it uses less digits than its factorization.

1350250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1350250440 is about 36745.7540404330. The cubic root of 1350250440 is about 1105.2777882441.

Adding to 1350250440 its reverse (440520531), we get a palindrome (1790770971).

The spelling of 1350250440 in words is "one billion, three hundred fifty million, two hundred fifty thousand, four hundred forty".