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2027483136 = 21236797
BaseRepresentation
bin111100011011000…
…1111000000000000
312020022001211000000
41320312033000000
513123013430021
6533104000000
7101146215360
oct17066170000
95208054000
102027483136
119505090a8
12487000000
1326407a883
141533b09a0
15bcee0b26
hex78d8f000

2027483136 has 364 divisors, whose sum is σ = 7018966192. Its totient is φ = 573308928.

The previous prime is 2027483099. The next prime is 2027483149. The reversal of 2027483136 is 6313847202.

It is a happy number.

2027483136 is a `hidden beast` number, since 20 + 27 + 483 + 136 = 666.

It is a super-2 number, since 2×20274831362 = 8221375733528788992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2027483136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20901840 + ... + 20901936.

Almost surely, 22027483136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509483096).

2027483136 is an abundant number, since it is smaller than the sum of its proper divisors (4991483056).

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

2027483136 is an frugal number, since it uses more digits than its factorization.

2027483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2027483136 is about 45027.5819470688. The cubic root of 2027483136 is about 1265.6659121590.

The spelling of 2027483136 in words is "two billion, twenty-seven million, four hundred eighty-three thousand, one hundred thirty-six".