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1350180468 = 2233713374779
BaseRepresentation
bin101000001111010…
…0001111001110100
310111002121021102000
41100132201321310
510231121233333
6341551015300
745313226130
oct12036417164
93432537360
101350180468
1163316162a
1231820a530
13186957570
14cb4643c0
157d803713
hex507a1e74

1350180468 has 384 divisors, whose sum is σ = 4576051200. Its totient is φ = 334803456.

The previous prime is 1350180467. The next prime is 1350180473. The reversal of 1350180468 is 8640810531.

1350180468 is a `hidden beast` number, since 13 + 5 + 0 + 180 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350180467) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17090853 + ... + 17090931.

It is an arithmetic number, because the mean of its divisors is an integer number (11916800).

Almost surely, 21350180468 is an apocalyptic number.

1350180468 is a gapful number since it is divisible by the number (18) 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 1350180468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288025600).

1350180468 is an abundant number, since it is smaller than the sum of its proper divisors (3225870732).

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

1350180468 is a wasteful number, since it uses less digits than its factorization.

1350180468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1350180468 is about 36744.8019180945. The cubic root of 1350180468 is about 1105.2586955309.

Adding to 1350180468 its reverse (8640810531), we get a palindrome (9990990999).

The spelling of 1350180468 in words is "one billion, three hundred fifty million, one hundred eighty thousand, four hundred sixty-eight".