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1427151960 = 2334513311093
BaseRepresentation
bin101010100010000…
…1001110001011000
310200110102211110000
41111010021301120
510410322330320
6353340453000
750236406613
oct12504116130
93613384400
101427151960
11672654433
12339b4a160
13199897320
14d777d17a
1585459c90
hex55109c58

1427151960 has 320 divisors, whose sum is σ = 5337319680. Its totient is φ = 339655680.

The previous prime is 1427151931. The next prime is 1427151967. The reversal of 1427151960 is 691517241.

1427151960 is a `hidden beast` number, since 14 + 2 + 71 + 519 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427151967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1305174 + ... + 1306266.

It is an arithmetic number, because the mean of its divisors is an integer number (16679124).

Almost surely, 21427151960 is an apocalyptic number.

1427151960 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 1427151960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668659840).

1427151960 is an abundant number, since it is smaller than the sum of its proper divisors (3910167720).

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

1427151960 is a wasteful number, since it uses less digits than its factorization.

1427151960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1427151960 is about 37777.6648298965. The cubic root of 1427151960 is about 1125.8747330167.

The spelling of 1427151960 in words is "one billion, four hundred twenty-seven million, one hundred fifty-one thousand, nine hundred sixty".