Search a number
-
+
1371512640 = 263547113269
BaseRepresentation
bin101000110111111…
…1001111101000000
310112120202001122110
41101233321331000
510302101401030
6344032135320
745662444061
oct12157717500
93476661573
101371512640
11644201823
12323397540
1318b1b6154
14d0218568
15806191b0
hex51bf9f40

1371512640 has 224 divisors, whose sum is σ = 4503237120. Its totient is φ = 353468416.

The previous prime is 1371512627. The next prime is 1371512647. The reversal of 1371512640 is 462151731.

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 = 1371512598 and 1371512607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1371512647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5098426 + ... + 5098694.

Almost surely, 21371512640 is an apocalyptic number.

1371512640 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 1371512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251618560).

1371512640 is an abundant number, since it is smaller than the sum of its proper divisors (3131724480).

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

1371512640 is a wasteful number, since it uses less digits than its factorization.

1371512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1371512640 is about 37033.9390289502. The cubic root of 1371512640 is about 1111.0491500856.

The spelling of 1371512640 in words is "one billion, three hundred seventy-one million, five hundred twelve thousand, six hundred forty".