Search a number
-
+
1371245568 = 210371121731
BaseRepresentation
bin101000110111011…
…1000110000000000
310112120020111021220
41101232320300000
510302014324233
6344022315040
745660252330
oct12156706000
93476214256
101371245568
1164403a100
12323288a80
1318b121714
14d01890c0
15805b4eb3
hex51bb8c00

1371245568 has 528 divisors, whose sum is σ = 5018130432. Its totient is φ = 324403200.

The previous prime is 1371245563. The next prime is 1371245587. The reversal of 1371245568 is 8655421731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (201600) is a multiple of the sum of its prime factors (100).

It is not an unprimeable number, because it can be changed into a prime (1371245563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44233713 + ... + 44233743.

Almost surely, 21371245568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1371245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509065216).

1371245568 is an abundant number, since it is smaller than the sum of its proper divisors (3646884864).

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

1371245568 is a wasteful number, since it uses less digits than its factorization.

1371245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 1371245568 is about 37030.3330797874. Note that the first 3 decimals coincide. The cubic root of 1371245568 is about 1110.9770279209.

The spelling of 1371245568 in words is "one billion, three hundred seventy-one million, two hundred forty-five thousand, five hundred sixty-eight".