Search a number
-
+
1374662016 = 27347133147
BaseRepresentation
bin101000111101111…
…1010110110000000
310112210200001210000
41101323322312000
510303403141031
6344223440000
746031301660
oct12173726600
93483601700
101374662016
11645a62a12
12324456000
1318ba497a0
14d07d81a0
1580a3c3e6
hex51efad80

1374662016 has 640 divisors, whose sum is σ = 5308047360. Its totient is φ = 343388160.

The previous prime is 1374661961. The next prime is 1374662017. The reversal of 1374662016 is 6102664731.

It is a happy number.

1374662016 is a `hidden beast` number, since 13 + 7 + 4 + 6 + 620 + 16 = 666.

1374662016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (1374662017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29248105 + ... + 29248151.

It is an arithmetic number, because the mean of its divisors is an integer number (8293824).

Almost surely, 21374662016 is an apocalyptic number.

1374662016 is a gapful number since it is divisible by the number (16) 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 1374662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654023680).

1374662016 is an abundant number, since it is smaller than the sum of its proper divisors (3933385344).

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

1374662016 is a wasteful number, since it uses less digits than its factorization.

1374662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1374662016 is about 37076.4347800594. The cubic root of 1374662016 is about 1111.8989263412.

The spelling of 1374662016 in words is "one billion, three hundred seventy-four million, six hundred sixty-two thousand, sixteen".