Search a number
-
+
1381079700 = 22335272111373
BaseRepresentation
bin101001001010001…
…1001101010010100
310120020202010012000
41102110121222110
510312024022300
6345013155300
746136661300
oct12224315224
93506663160
101381079700
11649646690
1232662bb30
13190185930
14d15c8d00
15813a8c00
hex52519a94

1381079700 has 864 divisors, whose sum is σ = 6150856320. Its totient is φ = 261273600.

The previous prime is 1381079699. The next prime is 1381079741. The reversal of 1381079700 is 79701831.

It is a super-2 number, since 2×13810797002 = 3814762275504180000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18918864 + ... + 18918936.

Almost surely, 21381079700 is an apocalyptic number.

1381079700 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 1381079700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075428160).

1381079700 is an abundant number, since it is smaller than the sum of its proper divisors (4769776620).

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

1381079700 is a wasteful number, since it uses less digits than its factorization.

1381079700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1381079700 is about 37162.8806741350. The cubic root of 1381079700 is about 1113.6265607053.

The spelling of 1381079700 in words is "one billion, three hundred eighty-one million, seventy-nine thousand, seven hundred".