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84272520 = 23351993529
BaseRepresentation
bin1010000010111…
…10010110001000
312212120111011110
411001132112020
5133033210040
612210130320
72042206323
oct501362610
9185514143
1084272520
114362a212
12242809a0
13145c7cc7
14b2997ba
1575e9980
hex505e588

84272520 has 64 divisors (see below), whose sum is σ = 254160000. Its totient is φ = 22353408.

The previous prime is 84272479. The next prime is 84272549. The reversal of 84272520 is 2527248.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22116 + ... + 25644.

It is an arithmetic number, because the mean of its divisors is an integer number (3971250).

Almost surely, 284272520 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 84272520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127080000).

84272520 is an abundant number, since it is smaller than the sum of its proper divisors (169887480).

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

84272520 is a wasteful number, since it uses less digits than its factorization.

84272520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 84272520 is about 9180.0065359454. The cubic root of 84272520 is about 438.4250164432.

Adding to 84272520 its reverse (2527248), we get a palindrome (86799768).

The spelling of 84272520 in words is "eighty-four million, two hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3529 3980 4776 5970 7058 7960 10587 11940 14116 17645 21174 23880 28232 35290 42348 52935 70580 84696 105870 141160 211740 423480 702271 1404542 2106813 2809084 3511355 4213626 5618168 7022710 8427252 10534065 14045420 16854504 21068130 28090840 42136260 84272520