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84223680 = 2635591487
BaseRepresentation
bin1010000010100…
…10011011000000
312212111000011120
411001102123000
5133030124210
612205112240
72041614042
oct501223300
9185430146
1084223680
11435a6552
1224258680
13145ab9c8
14b285a92
1575da270
hex50526c0

84223680 has 112 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 22064128.

The previous prime is 84223673. The next prime is 84223687. The reversal of 84223680 is 8632248.

It is an interprime number because it is at equal distance from previous prime (84223673) and next prime (84223687).

It is not an unprimeable number, because it can be changed into a prime (84223687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55897 + ... + 57383.

Almost surely, 284223680 is an apocalyptic number.

84223680 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 84223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

84223680 is an abundant number, since it is smaller than the sum of its proper divisors (187901760).

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

84223680 is a wasteful number, since it uses less digits than its factorization.

84223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84223680 is about 9177.3460215903. The cubic root of 84223680 is about 438.3403039110.

The spelling of 84223680 in words is "eighty-four million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1487 1770 1888 2360 2832 2974 3540 3776 4461 4720 5664 5948 7080 7435 8922 9440 11328 11896 14160 14870 17844 18880 22305 23792 28320 29740 35688 44610 47584 56640 59480 71376 87733 89220 95168 118960 142752 175466 178440 237920 263199 285504 350932 356880 438665 475840 526398 701864 713760 877330 1052796 1315995 1403728 1427520 1754660 2105592 2631990 2807456 3509320 4211184 5263980 5614912 7018640 8422368 10527960 14037280 16844736 21055920 28074560 42111840 84223680