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1380106350 = 238527601
BaseRepresentation
bin101001001000010…
…1100000001101110
310120011220200000000
41102100230001232
510311301400400
6344540245130
746125465450
oct12220540156
93504820000
101380106350
11649041367
123262407a6
1318cc0489c
14d14142d0
1581265600
hex5242c06e

1380106350 has 216 divisors, whose sum is σ = 4407665808. Its totient is φ = 314928000.

The previous prime is 1380106339. The next prime is 1380106367. The reversal of 1380106350 is 536010831.

1380106350 is a `hidden beast` number, since 13 + 8 + 0 + 10 + 635 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2296050 + ... + 2296650.

Almost surely, 21380106350 is an apocalyptic number.

1380106350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380106350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203832904).

1380106350 is an abundant number, since it is smaller than the sum of its proper divisors (3027559458).

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

1380106350 is an frugal number, since it uses more digits than its factorization.

1380106350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1380106350 is about 37149.7826373184. The cubic root of 1380106350 is about 1113.3648806205.

The spelling of 1380106350 in words is "one billion, three hundred eighty million, one hundred six thousand, three hundred fifty".