Search a number
-
+
1374109056 = 27332359293
BaseRepresentation
bin101000111100111…
…0011110110000000
310112202121222021000
41101321303312000
510303232442211
6344203532000
746023506565
oct12171636600
93482558230
101374109056
11645715521
1232422a000
1318b8b4ba8
14d06d286c
158097d656
hex51e73d80

1374109056 has 256 divisors, whose sum is σ = 4318272000. Its totient is φ = 429225984.

The previous prime is 1374109039. The next prime is 1374109063. The reversal of 1374109056 is 6509014731.

It is a super-2 number, since 2×13741090562 = 3776351395562422272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1374109056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4689646 + ... + 4689938.

It is an arithmetic number, because the mean of its divisors is an integer number (16868250).

Almost surely, 21374109056 is an apocalyptic number.

1374109056 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 1374109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136000).

1374109056 is an abundant number, since it is smaller than the sum of its proper divisors (2944162944).

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

1374109056 is a wasteful number, since it uses less digits than its factorization.

1374109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1374109056 is about 37068.9770023398. The cubic root of 1374109056 is about 1111.7498186378.

The spelling of 1374109056 in words is "one billion, three hundred seventy-four million, one hundred nine thousand, fifty-six".