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96080320 = 265759727
BaseRepresentation
bin1011011101000…
…01000111000000
320200210101102101
411232201013000
5144044032240
613311200144
72244445360
oct556410700
9220711371
1096080320
114a264626
1228216054
1316ba067b
14ca909a0
15867d39a
hex5ba11c0

96080320 has 112 divisors (see below), whose sum is σ = 266273280. Its totient is φ = 32338944.

The previous prime is 96080317. The next prime is 96080323. The reversal of 96080320 is 2308069.

It is an interprime number because it is at equal distance from previous prime (96080317) and next prime (96080323).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96080323) 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 15 ways as a sum of consecutive naturals, for example, 131797 + ... + 132523.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 296080320 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 96080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

96080320 is an abundant number, since it is smaller than the sum of its proper divisors (170192960).

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

96080320 is a wasteful number, since it uses less digits than its factorization.

96080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 96080320 is about 9802.0569269924. The cubic root of 96080320 is about 458.0133606573.

Adding to 96080320 its reverse (2308069), we get a palindrome (98388389).

The spelling of 96080320 in words is "ninety-six million, eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 236 280 295 320 413 448 472 560 590 727 826 944 1120 1180 1454 1652 1888 2065 2240 2360 2908 3304 3635 3776 4130 4720 5089 5816 6608 7270 8260 9440 10178 11632 13216 14540 16520 18880 20356 23264 25445 26432 29080 33040 40712 42893 46528 50890 58160 66080 81424 85786 101780 116320 132160 162848 171572 203560 214465 232640 300251 325696 343144 407120 428930 600502 686288 814240 857860 1201004 1372576 1501255 1628480 1715720 2402008 2745152 3002510 3431440 4804016 6005020 6862880 9608032 12010040 13725760 19216064 24020080 48040160 96080320