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96640000 = 21054151
BaseRepresentation
bin1011100001010…
…01110000000000
320201211211011021
411300221300000
5144214440000
613331155224
72252266162
oct560516000
9221754137
1096640000
114a607076
1228445b14
1317038342
14cb98932
15873e11a
hex5c29c00

96640000 has 110 divisors (see below), whose sum is σ = 243003464. Its totient is φ = 38400000.

The previous prime is 96639979. The next prime is 96640001. The reversal of 96640000 is 4669.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96640001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639925 + ... + 640075.

Almost surely, 296640000 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 96640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121501732).

96640000 is an abundant number, since it is smaller than the sum of its proper divisors (146363464).

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

96640000 is an equidigital number, since it uses as much as digits as its factorization.

96640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 96640000 is about 9830.5645819556. The cubic root of 96640000 is about 458.9009679662.

Adding to 96640000 its reverse (4669), we get a palindrome (96644669).

The spelling of 96640000 in words is "ninety-six million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 151 160 200 250 256 302 320 400 500 512 604 625 640 755 800 1000 1024 1208 1250 1280 1510 1600 2000 2416 2500 2560 3020 3200 3775 4000 4832 5000 5120 6040 6400 7550 8000 9664 10000 12080 12800 15100 16000 18875 19328 20000 24160 25600 30200 32000 37750 38656 40000 48320 60400 64000 75500 77312 80000 94375 96640 120800 128000 151000 154624 160000 188750 193280 241600 302000 320000 377500 386560 483200 604000 640000 755000 773120 966400 1208000 1510000 1932800 2416000 3020000 3865600 4832000 6040000 9664000 12080000 19328000 24160000 48320000 96640000