Search a number
-
+
1336987008 = 27327374481
BaseRepresentation
bin100111110110000…
…1100110110000000
310110011202222101100
41033230030312000
510214232041013
6340400134400
745063126210
oct11754146600
93404688340
101336987008
11626770145
12313907400
13183cb8296
14c97cc240
157c599473
hex4fb0cd80

1336987008 has 192 divisors, whose sum is σ = 4516780320. Its totient is φ = 371589120.

The previous prime is 1336986997. The next prime is 1336987009. The reversal of 1336987008 is 8007896331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336987009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296128 + ... + 300608.

Almost surely, 21336987008 is an apocalyptic number.

1336987008 is a gapful number since it is divisible by the number (18) 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 1336987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258390160).

1336987008 is an abundant number, since it is smaller than the sum of its proper divisors (3179793312).

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

1336987008 is a wasteful number, since it uses less digits than its factorization.

1336987008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1336987008 is about 36564.8329409557. The cubic root of 1336987008 is about 1101.6468467190.

The spelling of 1336987008 in words is "one billion, three hundred thirty-six million, nine hundred eighty-seven thousand, eight".