Search a number
-
+
1368447696 = 24357211653
BaseRepresentation
bin101000110010000…
…1101101011010000
310112100222100100000
41101210031223100
510300310311241
6343442330000
745624420300
oct12144155320
93470870300
101368447696
116424a9010
12322359900
1318a682085
14cda5b600
1580210eb6
hex5190dad0

1368447696 has 360 divisors, whose sum is σ = 5047739424. Its totient is φ = 354896640.

The previous prime is 1368447677. The next prime is 1368447719. The reversal of 1368447696 is 6967448631.

1368447696 is a `hidden beast` number, since 1 + 3 + 6 + 84 + 476 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095306 + ... + 2095958.

Almost surely, 21368447696 is an apocalyptic number.

1368447696 is a gapful number since it is divisible by the number (16) 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 1368447696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523869712).

1368447696 is an abundant number, since it is smaller than the sum of its proper divisors (3679291728).

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

1368447696 is a wasteful number, since it uses less digits than its factorization.

1368447696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 676 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 1368447696 is about 36992.5356795124. The cubic root of 1368447696 is about 1110.2209056320.

The spelling of 1368447696 in words is "one billion, three hundred sixty-eight million, four hundred forty-seven thousand, six hundred ninety-six".