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96360040 = 23572911867
BaseRepresentation
bin1011011111001…
…01011001101000
320201022121010101
411233211121220
5144132010130
613321155144
72250022030
oct557453150
9221277111
1096360040
114a4357a7
122832bab4
1316c6aa9a
14cb248c0
1586d61ca
hex5be5668

96360040 has 64 divisors (see below), whose sum is σ = 256348800. Its totient is φ = 31895808.

The previous prime is 96360007. The next prime is 96360049. The reversal of 96360040 is 4006369.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 96359990 and 96360008.

It is not an unprimeable number, because it can be changed into a prime (96360049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2187 + ... + 14053.

It is an arithmetic number, because the mean of its divisors is an integer number (4005450).

Almost surely, 296360040 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 96360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128174400).

96360040 is an abundant number, since it is smaller than the sum of its proper divisors (159988760).

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

96360040 is a wasteful number, since it uses less digits than its factorization.

96360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11914 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 96360040 is about 9816.3149908711. The cubic root of 96360040 is about 458.4574036197.

The spelling of 96360040 in words is "ninety-six million, three hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 11867 23734 47468 59335 83069 94936 118670 166138 237340 332276 344143 415345 474680 664552 688286 830690 1376572 1661380 1720715 2409001 2753144 3322760 3441430 4818002 6882860 9636004 12045005 13765720 19272008 24090010 48180020 96360040