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2139254460 = 22325719193463
BaseRepresentation
bin111111110000010…
…0110111010111100
312112002101101102200
41333200212322330
513340122120320
6552135351500
7104004235320
oct17740467274
95462341380
102139254460
119a860a5a2
124b8522590
13281283255
14164187980
15c7c1d290
hex7f826ebc

2139254460 has 288 divisors, whose sum is σ = 7863797760. Its totient is φ = 459841536.

The previous prime is 2139254443. The next prime is 2139254489. The reversal of 2139254460 is 644529312.

It is a happy number.

2139254460 is a `hidden beast` number, since 21 + 3 + 92 + 544 + 6 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4620189 + ... + 4620651.

Almost surely, 22139254460 is an apocalyptic number.

2139254460 is a gapful number since it is divisible by the number (20) 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 2139254460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931898880).

2139254460 is an abundant number, since it is smaller than the sum of its proper divisors (5724543300).

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

2139254460 is a wasteful number, since it uses less digits than its factorization.

2139254460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2139254460 is about 46252.0751966871. The cubic root of 2139254460 is about 1288.5090761512.

The spelling of 2139254460 in words is "two billion, one hundred thirty-nine million, two hundred fifty-four thousand, four hundred sixty".