Search a number
-
+
1289930684 = 227241433733
BaseRepresentation
bin100110011100010…
…1100011110111100
310022220020021020112
41030320230132330
510120210240214
6331555405152
743652141600
oct11470543674
93286207215
101289930684
11602150019
122bbbb37b8
131773209c3
14c345d500
15783a1a3e
hex4ce2c7bc

1289930684 has 72 divisors (see below), whose sum is σ = 2753272368. Its totient is φ = 526659840.

The previous prime is 1289930671. The next prime is 1289930687. The reversal of 1289930684 is 4860399821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289930687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343682 + ... + 347414.

It is an arithmetic number, because the mean of its divisors is an integer number (38239894).

Almost surely, 21289930684 is an apocalyptic number.

1289930684 is a gapful number since it is divisible by the number (14) 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 1289930684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376636184).

1289930684 is an abundant number, since it is smaller than the sum of its proper divisors (1463341684).

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

1289930684 is a wasteful number, since it uses less digits than its factorization.

1289930684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 1289930684 is about 35915.6050206592. The cubic root of 1289930684 is about 1088.5677352968.

The spelling of 1289930684 in words is "one billion, two hundred eighty-nine million, nine hundred thirty thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 41 43 49 82 86 98 164 172 196 287 301 574 602 1148 1204 1763 2009 2107 3526 3733 4018 4214 7052 7466 8036 8428 12341 14932 24682 26131 49364 52262 86387 104524 153053 160519 172774 182917 306106 321038 345548 365834 612212 642076 731668 1071371 1123633 2142742 2247266 4285484 4494532 6581279 7499597 7865431 13162558 14999194 15730862 26325116 29998388 31461724 46068953 92137906 184275812 322482671 644965342 1289930684