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84237440 = 275718803
BaseRepresentation
bin1010000010101…
…01110010000000
312212111201001012
411001111302000
5133031044230
612205300052
72042002130
oct501256200
9185451035
1084237440
1143605921
1224264628
13145b5051
14b28aac0
1575de395
hex5055c80

84237440 has 64 divisors (see below), whose sum is σ = 230160960. Its totient is φ = 28879872.

The previous prime is 84237407. The next prime is 84237443. The reversal of 84237440 is 4473248.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 84237397 and 84237406.

It is not an unprimeable number, because it can be changed into a prime (84237443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4922 + ... + 13881.

It is an arithmetic number, because the mean of its divisors is an integer number (3596265).

Almost surely, 284237440 is an apocalyptic number.

84237440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84237440 is an abundant number, since it is smaller than the sum of its proper divisors (145923520).

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

84237440 is a wasteful number, since it uses less digits than its factorization.

84237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829 (or 18817 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 84237440 is about 9178.0956630447. The cubic root of 84237440 is about 438.3641738177.

The spelling of 84237440 in words is "eighty-four million, two hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 18803 37606 75212 94015 131621 150424 188030 263242 300848 376060 526484 601696 658105 752120 1052968 1203392 1316210 1504240 2105936 2406784 2632420 3008480 4211872 5264840 6016960 8423744 10529680 12033920 16847488 21059360 42118720 84237440