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96103332 = 223213297397
BaseRepresentation
bin1011011101001…
…10101110100100
320200211112222200
411232212232210
5144100301312
613311454500
72244602433
oct556465644
9220745880
1096103332
114a27a946
1228227430
1316baaca0
14ca9911a
1586850dc
hex5ba6ba4

96103332 has 144 divisors (see below), whose sum is σ = 277171440. Its totient is φ = 27869184.

The previous prime is 96103327. The next prime is 96103339. The reversal of 96103332 is 23330169.

It can be written as a sum of positive squares in 8 ways, for example, as 2903616 + 93199716 = 1704^2 + 9654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96103296 and 96103305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96103339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990708 + ... + 990804.

Almost surely, 296103332 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 96103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138585720).

96103332 is an abundant number, since it is smaller than the sum of its proper divisors (181068108).

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

96103332 is a wasteful number, since it uses less digits than its factorization.

96103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 96103332 is about 9803.2306919709. The cubic root of 96103332 is about 458.0499236846.

The spelling of 96103332 in words is "ninety-six million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 73 78 87 97 116 117 146 156 174 194 219 234 261 291 292 348 377 388 438 468 522 582 657 754 873 876 949 1044 1131 1164 1261 1314 1508 1746 1898 2117 2262 2522 2628 2813 2847 3393 3492 3783 3796 4234 4524 5044 5626 5694 6351 6786 7081 7566 8439 8468 8541 11252 11349 11388 12702 13572 14162 15132 16878 17082 19053 21243 22698 25317 25404 27521 28324 33756 34164 36569 38106 42486 45396 50634 55042 63729 73138 76212 82563 84972 92053 101268 109707 110084 127458 146276 165126 184106 205349 219414 247689 254916 276159 329121 330252 368212 410698 438828 495378 552318 616047 658242 821396 828477 990756 1104636 1232094 1316484 1656954 1848141 2464188 2669537 3313908 3696282 5339074 7392564 8008611 10678148 16017222 24025833 32034444 48051666 96103332