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1427603940 = 223457312131
BaseRepresentation
bin101010100010111…
…1000000111100100
310200111021210110000
41111011320013210
510410431311230
6353354301300
750243301420
oct12505700744
93614253400
101427603940
11672932a74
1233a127830
131999c4c79
14d7859b80
15854e8b60
hex551781e4

1427603940 has 360 divisors, whose sum is σ = 5329025856. Its totient is φ = 313372800.

The previous prime is 1427603929. The next prime is 1427603953. The reversal of 1427603940 is 493067241.

1427603940 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 603 + 9 + 40 = 666.

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 = 1427603895 and 1427603904.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10897675 + ... + 10897805.

Almost surely, 21427603940 is an apocalyptic number.

1427603940 is a gapful number since it is divisible by the number (10) 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 1427603940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664512928).

1427603940 is an abundant number, since it is smaller than the sum of its proper divisors (3901421916).

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

1427603940 is a wasteful number, since it uses less digits than its factorization.

1427603940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1427603940 is about 37783.6464624578. The cubic root of 1427603940 is about 1125.9935755706.

The spelling of 1427603940 in words is "one billion, four hundred twenty-seven million, six hundred three thousand, nine hundred forty".