Search a number
-
+
1427099520 = 27357311197
BaseRepresentation
bin101010100001111…
…1100111110000000
310200110100011111210
41111003330332000
510410314141040
6353335410120
750236101000
oct12503747600
93613304453
101427099520
11672618aa0
12339b23940
131998794b2
14d7768000
1585449480
hex550fcf80

1427099520 has 512 divisors, whose sum is σ = 5816448000. Its totient is φ = 295034880.

The previous prime is 1427099507. The next prime is 1427099521. The reversal of 1427099520 is 259907241.

It is a super-2 number, since 2×14270995202 = 4073226079968460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427099521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7244062 + ... + 7244258.

It is an arithmetic number, because the mean of its divisors is an integer number (11360250).

Almost surely, 21427099520 is an apocalyptic number.

1427099520 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 1427099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908224000).

1427099520 is an abundant number, since it is smaller than the sum of its proper divisors (4389348480).

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

1427099520 is a wasteful number, since it uses less digits than its factorization.

1427099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1427099520 is about 37776.9707626220. The cubic root of 1427099520 is about 1125.8609429426.

The spelling of 1427099520 in words is "one billion, four hundred twenty-seven million, ninety-nine thousand, five hundred twenty".