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84265720 = 235711109251
BaseRepresentation
bin1010000010111…
…00101011111000
312212120010211121
411001130223320
5133033000340
612210035024
72042150440
oct501345370
9185503747
1084265720
11436250a0
1224278a74
13145c4b96
14b297120
1575e794a
hex505caf8

84265720 has 128 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 25920000.

The previous prime is 84265693. The next prime is 84265751. The reversal of 84265720 is 2756248.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335595 + ... + 335845.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 284265720 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 84265720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

84265720 is an abundant number, since it is smaller than the sum of its proper divisors (155235080).

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

84265720 is a wasteful number, since it uses less digits than its factorization.

84265720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 84265720 is about 9179.6361583671. The cubic root of 84265720 is about 438.4132238672.

The spelling of 84265720 in words is "eighty-four million, two hundred sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 109 110 140 154 218 220 251 280 308 385 436 440 502 545 616 763 770 872 1004 1090 1199 1255 1526 1540 1757 2008 2180 2398 2510 2761 3052 3080 3514 3815 4360 4796 5020 5522 5995 6104 7028 7630 8393 8785 9592 10040 11044 11990 13805 14056 15260 16786 17570 19327 22088 23980 27359 27610 30520 33572 35140 38654 41965 47960 54718 55220 67144 70280 77308 83930 96635 109436 110440 136795 154616 167860 191513 193270 218872 273590 300949 335720 383026 386540 547180 601898 766052 773080 957565 1094360 1203796 1504745 1532104 1915130 2106643 2407592 3009490 3830260 4213286 6018980 7660520 8426572 10533215 12037960 16853144 21066430 42132860 84265720