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1380069900 = 223652111721
BaseRepresentation
bin101001001000010…
…0011001000001100
310120011211211000000
41102100203020030
510311244214100
6344535404300
746125254256
oct12220431014
93504754000
101380069900
11649016a40
12326223690
1318cbc1111
14d1404cd6
1581259900
hex5242320c

1380069900 has 252 divisors, whose sum is σ = 4901108184. Its totient is φ = 334368000.

The previous prime is 1380069869. The next prime is 1380069913. The reversal of 1380069900 is 99600831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 801040 + ... + 802760.

It is an arithmetic number, because the mean of its divisors is an integer number (19448842).

Almost surely, 21380069900 is an apocalyptic number.

1380069900 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 1380069900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450554092).

1380069900 is an abundant number, since it is smaller than the sum of its proper divisors (3521038284).

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

1380069900 is a wasteful number, since it uses less digits than its factorization.

1380069900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1380069900 is about 37149.2920524739. The cubic root of 1380069900 is about 1113.3550788379.

The spelling of 1380069900 in words is "one billion, three hundred eighty million, sixty-nine thousand, nine hundred".