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96823040 = 285671129
BaseRepresentation
bin1011100010101…
…10011100000000
320202012010020112
411301112130000
5144241314130
613335130452
72253660626
oct561263400
9222163215
1096823040
114a721646
1228513a28
13170a0752
14cc05516
158778495
hex5c56700

96823040 has 72 divisors (see below), whose sum is σ = 235591440. Its totient is φ = 38117376.

The previous prime is 96823037. The next prime is 96823049. The reversal of 96823040 is 4032869.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 96822988 and 96823006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96823049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85196 + ... + 86324.

Almost surely, 296823040 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 96823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117795720).

96823040 is an abundant number, since it is smaller than the sum of its proper divisors (138768400).

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

96823040 is a wasteful number, since it uses less digits than its factorization.

96823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 96823040 is about 9839.8699178394. The cubic root of 96823040 is about 459.1905107971.

The spelling of 96823040 in words is "ninety-six million, eight hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 536 640 670 1072 1129 1280 1340 2144 2258 2680 4288 4516 5360 5645 8576 9032 10720 11290 17152 18064 21440 22580 36128 42880 45160 72256 75643 85760 90320 144512 151286 180640 289024 302572 361280 378215 605144 722560 756430 1210288 1445120 1512860 2420576 3025720 4841152 6051440 9682304 12102880 19364608 24205760 48411520 96823040