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96663040 = 29561619
BaseRepresentation
bin1011100001011…
…11011000000000
320201212222202121
411300233120000
5144221204130
613331454024
72252423305
oct560573000
9221788677
1096663040
114a622411
1228457314
1317045986
14cba30ac
158745d7a
hex5c2f600

96663040 has 80 divisors (see below), whose sum is σ = 235944720. Its totient is φ = 37969920.

The previous prime is 96663031. The next prime is 96663059. The reversal of 96663040 is 4036669.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 96662987 and 96663005.

It is a congruent number.

It is an unprimeable number.

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, 155851 + ... + 156469.

It is an arithmetic number, because the mean of its divisors is an integer number (2949309).

Almost surely, 296663040 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 96663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117972360).

96663040 is an abundant number, since it is smaller than the sum of its proper divisors (139281680).

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

96663040 is an equidigital number, since it uses as much as digits as its factorization.

96663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 96663040 is about 9831.7363674989. The cubic root of 96663040 is about 458.9374340195.

The spelling of 96663040 in words is "ninety-six million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 619 640 976 1220 1238 1280 1952 2440 2476 2560 3095 3904 4880 4952 6190 7808 9760 9904 12380 15616 19520 19808 24760 31232 37759 39040 39616 49520 75518 78080 79232 99040 151036 156160 158464 188795 198080 302072 316928 377590 396160 604144 755180 792320 1208288 1510360 1584640 2416576 3020720 4833152 6041440 9666304 12082880 19332608 24165760 48331520 96663040