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84318720 = 293510979
BaseRepresentation
bin1010000011010…
…01101000000000
312212122211112120
411001221220000
5133041144340
612211124240
72042461113
oct501515000
9185584476
1084318720
11436609a2
12242a3680
1314613045
14b2ac57a
1576084d0
hex5069a00

84318720 has 80 divisors (see below), whose sum is σ = 269580960. Its totient is φ = 22482944.

The previous prime is 84318719. The next prime is 84318733. The reversal of 84318720 is 2781348.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2191 + ... + 13169.

It is an arithmetic number, because the mean of its divisors is an integer number (3369762).

Almost surely, 284318720 is an apocalyptic number.

84318720 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 84318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134790480).

84318720 is an abundant number, since it is smaller than the sum of its proper divisors (185262240).

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

84318720 is a wasteful number, since it uses less digits than its factorization.

84318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 84318720 is about 9182.5225292400. The cubic root of 84318720 is about 438.5051198009.

The spelling of 84318720 in words is "eighty-four million, three hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 10979 21958 32937 43916 54895 65874 87832 109790 131748 164685 175664 219580 263496 329370 351328 439160 526992 658740 702656 878320 1053984 1317480 1405312 1756640 2107968 2634960 2810624 3513280 4215936 5269920 5621248 7026560 8431872 10539840 14053120 16863744 21079680 28106240 42159360 84318720