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96073640 = 23513473931
BaseRepresentation
bin1011011100111…
…11011110101000
320200210001020222
411232133132220
5144043324030
613311105212
72244420035
oct556373650
9220701228
1096073640
114a25a603
1228212208
1316b9a610
14ca8c38c
15867b3e5
hex5b9f7a8

96073640 has 64 divisors (see below), whose sum is σ = 237807360. Its totient is φ = 34709760.

The previous prime is 96073609. The next prime is 96073643. The reversal of 96073640 is 4637069.

It is a super-3 number, since 3×960736403 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96073640.

It is not an unprimeable number, because it can be changed into a prime (96073643) 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 15 ways as a sum of consecutive naturals, for example, 22475 + ... + 26405.

It is an arithmetic number, because the mean of its divisors is an integer number (3715740).

Almost surely, 296073640 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 96073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118903680).

96073640 is an abundant number, since it is smaller than the sum of its proper divisors (141733720).

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

96073640 is a wasteful number, since it uses less digits than its factorization.

96073640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 96073640 is about 9801.7161762622. The cubic root of 96073640 is about 458.0027459266.

The spelling of 96073640 in words is "ninety-six million, seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 940 1222 1880 2444 3055 3931 4888 6110 7862 12220 15724 19655 24440 31448 39310 51103 78620 102206 157240 184757 204412 255515 369514 408824 511030 739028 923785 1022060 1478056 1847570 2044120 2401841 3695140 4803682 7390280 9607364 12009205 19214728 24018410 48036820 96073640