Search a number
-
+
1014969408 = 26310634973
BaseRepresentation
bin111100011111110…
…011010001000000
32121201211210021120
4330133303101000
54034313010113
6244414152240
734103045325
oct7437632100
92551753246
101014969408
11480a185a2
12243ab2680
1313237b91b
1498b26b4c
155e18ba23
hex3c7f3440

1014969408 has 56 divisors (see below), whose sum is σ = 2688506688. Its totient is φ = 337936896.

The previous prime is 1014969407. The next prime is 1014969421. The reversal of 1014969408 is 8049694101.

1014969408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1014969408.

It is not an unprimeable number, because it can be changed into a prime (1014969407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201610 + ... + 206582.

It is an arithmetic number, because the mean of its divisors is an integer number (48009048).

Almost surely, 21014969408 is an apocalyptic number.

It is an amenable number.

1014969408 is an abundant number, since it is smaller than the sum of its proper divisors (1673537280).

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

1014969408 is a wasteful number, since it uses less digits than its factorization.

1014969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1014969408 is about 31858.5845259955. The cubic root of 1014969408 is about 1004.9651095533.

The spelling of 1014969408 in words is "one billion, fourteen million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1063 2126 3189 4252 4973 6378 8504 9946 12756 14919 17008 19892 25512 29838 34016 39784 51024 59676 68032 79568 102048 119352 159136 204096 238704 318272 477408 954816 5286299 10572598 15858897 21145196 31717794 42290392 63435588 84580784 126871176 169161568 253742352 338323136 507484704 1014969408