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1427587380 = 223257931041
BaseRepresentation
bin101010100010111…
…0100000100110100
310200111020221201200
41111011310010310
510410430244010
6353354052500
750243202222
oct12505640464
93614227650
101427587380
1167292158a
1233a11a130
131999ba57b
14d7853b12
15854e3cc0
hex55174134

1427587380 has 36 divisors (see below), whose sum is σ = 4330348932. Its totient is φ = 380689920.

The previous prime is 1427587373. The next prime is 1427587409. The reversal of 1427587380 is 837857241.

1427587380 is a `hidden beast` number, since 14 + 27 + 587 + 38 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 584962596 + 842624784 = 24186^2 + 29028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3965341 + ... + 3965700.

Almost surely, 21427587380 is an apocalyptic number.

1427587380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427587380 is an abundant number, since it is smaller than the sum of its proper divisors (2902761552).

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

1427587380 is a wasteful number, since it uses less digits than its factorization.

1427587380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931056 (or 7931051 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1427587380 is about 37783.4273193949. The cubic root of 1427587380 is about 1125.9892217661.

The spelling of 1427587380 in words is "one billion, four hundred twenty-seven million, five hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7931041 15862082 23793123 31724164 39655205 47586246 71379369 79310410 95172492 118965615 142758738 158620820 237931230 285517476 356896845 475862460 713793690 1427587380