Search a number
-
+
1418695040 = 27572192381
BaseRepresentation
bin101010010001111…
…1001000110000000
310122212112011201202
41110203321012000
510401141220130
6352435320332
750104465100
oct12443710600
93585464652
101418695040
116688a8644
123371500a8
13197bc5c29
14d65bb200
1584839145
hex548f9180

1418695040 has 192 divisors, whose sum is σ = 4154684400. Its totient is φ = 460615680.

The previous prime is 1418695037. The next prime is 1418695073. The reversal of 1418695040 is 405968141.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1418694985 and 1418695003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594650 + ... + 597030.

Almost surely, 21418695040 is an apocalyptic number.

1418695040 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 1418695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077342200).

1418695040 is an abundant number, since it is smaller than the sum of its proper divisors (2735989360).

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

1418695040 is a wasteful number, since it uses less digits than its factorization.

1418695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1418695040 is about 37665.5683615686. The cubic root of 1418695040 is about 1123.6464484969.

The spelling of 1418695040 in words is "one billion, four hundred eighteen million, six hundred ninety-five thousand, forty".