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94080 = 273572
BaseRepresentation
bin10110111110000000
311210001110
4112332000
511002310
62003320
7541200
oct267600
9153043
1094080
1164758
1246540
1333a8c
1426400
151cd20
hex16f80

94080 has 96 divisors (see below), whose sum is σ = 348840. Its totient is φ = 21504.

The previous prime is 94079. The next prime is 94099. The reversal of 94080 is 8049.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13437 + ... + 13443.

294080 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 94080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174420).

94080 is an abundant number, since it is smaller than the sum of its proper divisors (254760).

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

94080 is a wasteful number, since it uses less digits than its factorization.

94080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 94080 is about 306.7246322029. The cubic root of 94080 is about 45.4812546056.

The spelling of 94080 in words is "ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 280 294 320 336 384 392 420 448 480 490 560 588 640 672 735 784 840 896 960 980 1120 1176 1344 1470 1568 1680 1920 1960 2240 2352 2688 2940 3136 3360 3920 4480 4704 5880 6272 6720 7840 9408 11760 13440 15680 18816 23520 31360 47040 94080