Search a number
-
+
1427543040 = 210357111771
BaseRepresentation
bin101010100010110…
…1001010000000000
310200111011200220110
41111011221100000
510410422334130
6353353111320
750242626030
oct12505512000
93614150813
101427543040
116728a1240
1233a0b8540
131999a3331
14d78418c0
15854d5ab0
hex55169400

1427543040 has 704 divisors, whose sum is σ = 6112309248. Its totient is φ = 275251200.

The previous prime is 1427543011. The next prime is 1427543053. The reversal of 1427543040 is 403457241.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1427542989 and 1427543007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20106205 + ... + 20106275.

Almost surely, 21427543040 is an apocalyptic number.

1427543040 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 1427543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056154624).

1427543040 is an abundant number, since it is smaller than the sum of its proper divisors (4684766208).

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

1427543040 is a wasteful number, since it uses less digits than its factorization.

1427543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1427543040 is about 37782.8405496463. The cubic root of 1427543040 is about 1125.9775641308.

The spelling of 1427543040 in words is "one billion, four hundred twenty-seven million, five hundred forty-three thousand, forty".