Search a number
-
+
1381493880 = 23355132292
BaseRepresentation
bin101001001010111…
…1110110001111000
310120021112011100000
41102111332301320
510312130301010
6345030113000
746143334644
oct12225766170
93507464300
101381493880
116498a9888
123267ab760
1319029c300
14d1695c24
158143b7c0
hex5257ec78

1381493880 has 432 divisors, whose sum is σ = 5221714680. Its totient is φ = 328333824.

The previous prime is 1381493863. The next prime is 1381493887. The reversal of 1381493880 is 883941831.

1381493880 is a `hidden beast` number, since 1 + 3 + 81 + 493 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381493887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47637706 + ... + 47637734.

Almost surely, 21381493880 is an apocalyptic number.

1381493880 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 1381493880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610857340).

1381493880 is an abundant number, since it is smaller than the sum of its proper divisors (3840220800).

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

1381493880 is a wasteful number, since it uses less digits than its factorization.

1381493880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1381493880 is about 37168.4527523006. The cubic root of 1381493880 is about 1113.7378735543.

The spelling of 1381493880 in words is "one billion, three hundred eighty-one million, four hundred ninety-three thousand, eight hundred eighty".