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8396960 = 2551113367
BaseRepresentation
bin100000000010…
…000010100000
3120210121110112
4200002002200
54122200320
6455550452
7131241635
oct40020240
916717415
108396960
114815840
12298b428
131980020
14118818c
15b0cec5
hex8020a0

8396960 has 96 divisors (see below), whose sum is σ = 23369472. Its totient is φ = 2810880.

The previous prime is 8396953. The next prime is 8396977. The reversal of 8396960 is 696938.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22697 + ... + 23063.

It is an arithmetic number, because the mean of its divisors is an integer number (243432).

Almost surely, 28396960 is an apocalyptic number.

8396960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736).

8396960 is an abundant number, since it is smaller than the sum of its proper divisors (14972512).

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

8396960 is a wasteful number, since it uses less digits than its factorization.

8396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 8396960 is about 2897.7508519540. The cubic root of 8396960 is about 203.2547458253.

The spelling of 8396960 in words is "eight million, three hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 367 416 440 520 572 715 734 880 1040 1144 1430 1468 1760 1835 2080 2288 2860 2936 3670 4037 4576 4771 5720 5872 7340 8074 9542 11440 11744 14680 16148 19084 20185 22880 23855 29360 32296 38168 40370 47710 52481 58720 64592 76336 80740 95420 104962 129184 152672 161480 190840 209924 262405 322960 381680 419848 524810 645920 763360 839696 1049620 1679392 2099240 4198480 8396960