Search a number
-
+
1012989096 = 233272239013
BaseRepresentation
bin111100011000001…
…111110010101000
32121121010011210200
4330120033302220
54033311122341
6244303512200
734050156660
oct7430176250
92547104720
101012989096
1147a895779
122432b8660
13131b37442
149876d1a0
155dde9db6
hex3c60fca8

1012989096 has 96 divisors (see below), whose sum is σ = 3149852160. Its totient is φ = 288095616.

The previous prime is 1012989059. The next prime is 1012989143. The reversal of 1012989096 is 6909892101.

1012989096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10129890962 = 2052293817229794432, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107886 + ... + 116898.

It is an arithmetic number, because the mean of its divisors is an integer number (32810960).

Almost surely, 21012989096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012989096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574926080).

1012989096 is an abundant number, since it is smaller than the sum of its proper divisors (2136863064).

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

1012989096 is a wasteful number, since it uses less digits than its factorization.

1012989096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1012989096 is about 31827.4896276788. The cubic root of 1012989096 is about 1004.3110864921.

It can be divided in two parts, 10129 and 89096, that added together give a square (99225 = 3152).

The spelling of 1012989096 in words is "one billion, twelve million, nine hundred eighty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 2007 2676 3122 4014 4683 5352 6244 8028 9013 9366 12488 14049 16056 18026 18732 27039 28098 36052 37464 54078 56196 63091 72104 81117 108156 112392 126182 162234 189273 216312 252364 324468 378546 504728 567819 648936 757092 1135638 1514184 2009899 2271276 4019798 4542552 6029697 8039596 12059394 14069293 16079192 18089091 24118788 28138586 36178182 42207879 48237576 56277172 72356364 84415758 112554344 126623637 144712728 168831516 253247274 337663032 506494548 1012989096