Search a number
-
+
1311283920 = 24355463683
BaseRepresentation
bin100111000101000…
…1001101011010000
310101101102010101010
41032022021223100
510141142041140
6334041210520
744331505122
oct11612115320
93341363333
101311283920
11613205021
12307190a40
1317b88905b
14c621b212
157a1bd880
hex4e289ad0

1311283920 has 40 divisors (see below), whose sum is σ = 4064980896. Its totient is φ = 349675648.

The previous prime is 1311283913. The next prime is 1311283937. The reversal of 1311283920 is 293821131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 2731602 + ... + 2732081.

Almost surely, 21311283920 is an apocalyptic number.

1311283920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311283920 is an abundant number, since it is smaller than the sum of its proper divisors (2753696976).

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

1311283920 is a wasteful number, since it uses less digits than its factorization.

1311283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463699 (or 5463693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1311283920 is about 36211.6544775297. The cubic root of 1311283920 is about 1094.5415315531.

The spelling of 1311283920 in words is "one billion, three hundred eleven million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5463683 10927366 16391049 21854732 27318415 32782098 43709464 54636830 65564196 81955245 87418928 109273660 131128392 163910490 218547320 262256784 327820980 437094640 655641960 1311283920