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96932980 = 225171372081
BaseRepresentation
bin1011100011100…
…01010001110100
320202101201001101
411301301101310
5144303323410
613341335444
72254626304
oct561612164
9222351041
1096932980
114a797201
1228567584
131710b7c1
14cc33604
15879ad3a
hex5c71474

96932980 has 48 divisors (see below), whose sum is σ = 217210896. Its totient is φ = 36208640.

The previous prime is 96932959. The next prime is 96932981. The reversal of 96932980 is 8923969.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 343396 + 96589584 = 586^2 + 9828^2 .

It is a super-2 number, since 2×969329802 = 18792005223360800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96932980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96932981) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45540 + ... + 47620.

It is an arithmetic number, because the mean of its divisors is an integer number (4525227).

Almost surely, 296932980 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 96932980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108605448).

96932980 is an abundant number, since it is smaller than the sum of its proper divisors (120277916).

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

96932980 is a wasteful number, since it uses less digits than its factorization.

96932980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 96932980 is about 9845.4547888861. The cubic root of 96932980 is about 459.3642446153.

The spelling of 96932980 in words is "ninety-six million, nine hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 685 1370 2081 2329 2740 4162 4658 8324 9316 10405 11645 20810 23290 35377 41620 46580 70754 141508 176885 285097 353770 570194 707540 1140388 1425485 2850970 4846649 5701940 9693298 19386596 24233245 48466490 96932980