Search a number
-
+
96781120 = 2652910429
BaseRepresentation
bin1011100010011…
…00001101000000
320202002222201221
411301030031000
5144233443440
613334204424
72253424462
oct561141500
9222088657
1096781120
114a6a30a7
12284b3714
1317087647
14cbd4132
15876ad4a
hex5c4c340

96781120 has 56 divisors (see below), whose sum is σ = 238429800. Its totient is φ = 37373952.

The previous prime is 96781109. The next prime is 96781121. The reversal of 96781120 is 2118769.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 58736896 = 6168^2 + 7664^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96781121) 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, 4066 + ... + 14494.

It is an arithmetic number, because the mean of its divisors is an integer number (4257675).

Almost surely, 296781120 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 96781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119214900).

96781120 is an abundant number, since it is smaller than the sum of its proper divisors (141648680).

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

96781120 is a wasteful number, since it uses less digits than its factorization.

96781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 96781120 is about 9837.7395777689. The cubic root of 96781120 is about 459.1242316522.

Adding to 96781120 its reverse (2118769), we get a palindrome (98899889).

The spelling of 96781120 in words is "ninety-six million, seven hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 10429 20858 41716 52145 83432 104290 166864 208580 302441 333728 417160 604882 667456 834320 1209764 1512205 1668640 2419528 3024410 3337280 4839056 6048820 9678112 12097640 19356224 24195280 48390560 96781120