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20274053940 = 223257316167127
BaseRepresentation
bin10010111000011011…
…011000001100110100
31221022221012122120200
4102320123120030310
5313010124211230
613151435200500
71315260420660
oct227033301464
957287178520
1020274053940
1186641a1888
123b198a6130
131bb13bca2a
14da48638a0
157d9d52160
hex4b86d8334

20274053940 has 576 divisors, whose sum is σ = 75429838848. Its totient is φ = 4311014400.

The previous prime is 20274053929. The next prime is 20274053957. The reversal of 20274053940 is 4935047202.

20274053940 is a `hidden beast` number, since 20 + 27 + 40 + 539 + 40 = 666.

It is a super-2 number, since 2×202740539402 (a number of 21 digits) 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 = 20274053895 and 20274053904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159638157 + ... + 159638283.

Almost surely, 220274053940 is an apocalyptic number.

20274053940 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 20274053940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37714919424).

20274053940 is an abundant number, since it is smaller than the sum of its proper divisors (55155784908).

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

20274053940 is a wasteful number, since it uses less digits than its factorization.

20274053940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20274053940 in words is "twenty billion, two hundred seventy-four million, fifty-three thousand, nine hundred forty".