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1386931680 = 25335378677
BaseRepresentation
bin101001010101010…
…1110010111100000
310120122202102121000
41102222232113200
510320023303210
6345342432000
746240503411
oct12252562740
93518672530
101386931680
11651983332
12328592600
13191454444
14d22ad808
1581b62ac0
hex52aae5e0

1386931680 has 192 divisors, whose sum is σ = 4986031680. Its totient is φ = 359811072.

The previous prime is 1386931673. The next prime is 1386931681. The reversal of 1386931680 is 861396831.

It is a happy number.

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 (1386931681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155502 + ... + 164178.

It is an arithmetic number, because the mean of its divisors is an integer number (25968915).

Almost surely, 21386931680 is an apocalyptic number.

1386931680 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 1386931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493015840).

1386931680 is an abundant number, since it is smaller than the sum of its proper divisors (3599100000).

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

1386931680 is a wasteful number, since it uses less digits than its factorization.

1386931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1386931680 is about 37241.5316548608. The cubic root of 1386931680 is about 1115.1972490493.

The spelling of 1386931680 in words is "one billion, three hundred eighty-six million, nine hundred thirty-one thousand, six hundred eighty".