Search a number
-
+
1374943680 = 2633511172337
BaseRepresentation
bin101000111110011…
…1111100111000000
310112211012101011000
41101330333213000
510303441144210
6344233452000
746033554105
oct12174774700
93484171130
101374943680
116461355a0
12324571000
1318bb17a56
14d086caac
1580a95ac0
hex51f3f9c0

1374943680 has 896 divisors, whose sum is σ = 6004316160. Its totient is φ = 291962880.

The previous prime is 1374943673. The next prime is 1374943693. The reversal of 1374943680 is 863494731.

1374943680 is a `hidden beast` number, since 137 + 4 + 9 + 436 + 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 an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 37160622 + ... + 37160658.

Almost surely, 21374943680 is an apocalyptic number.

1374943680 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 1374943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002158080).

1374943680 is an abundant number, since it is smaller than the sum of its proper divisors (4629372480).

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

1374943680 is a wasteful number, since it uses less digits than its factorization.

1374943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1374943680 is about 37080.2330089766. The cubic root of 1374943680 is about 1111.9748627066.

The spelling of 1374943680 in words is "one billion, three hundred seventy-four million, nine hundred forty-three thousand, six hundred eighty".