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2027427840 = 2113357333
BaseRepresentation
bin111100011011000…
…0001100000000000
312020021222000011000
41320312001200000
513123010142330
6533102452000
7101145565224
oct17066014000
95207860130
102027427840
119504805a9
12486b94000
1326405b659
14153398784
15bcece560
hex78d81800

2027427840 has 192 divisors, whose sum is σ = 7207855200. Its totient is φ = 540573696.

The previous prime is 2027427827. The next prime is 2027427841. The reversal of 2027427840 is 487247202.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20274278402 = 8220927292814131200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2027427795 and 2027427804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027427841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272814 + ... + 280146.

Almost surely, 22027427840 is an apocalyptic number.

2027427840 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 2027427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603927600).

2027427840 is an abundant number, since it is smaller than the sum of its proper divisors (5180427360).

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

2027427840 is an equidigital number, since it uses as much as digits as its factorization.

2027427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2027427840 is about 45026.9679192370. The cubic root of 2027427840 is about 1265.6544057914.

The spelling of 2027427840 in words is "two billion, twenty-seven million, four hundred twenty-seven thousand, eight hundred forty".