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84371040 = 25325134507
BaseRepresentation
bin1010000011101…
…10011001100000
312212202111022100
411001312121200
5133044333130
612212210400
72043066465
oct501663140
9185674270
1084371040
1143697236
1224309a00
1314630ac0
14b2c366c
157618c60
hex5076660

84371040 has 144 divisors (see below), whose sum is σ = 310132368. Its totient is φ = 20763648.

The previous prime is 84371033. The next prime is 84371041. The reversal of 84371040 is 4017348.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 84370995 and 84371013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84371041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16467 + ... + 20973.

It is an arithmetic number, because the mean of its divisors is an integer number (2153697).

Almost surely, 284371040 is an apocalyptic number.

84371040 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 84371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155066184).

84371040 is an abundant number, since it is smaller than the sum of its proper divisors (225761328).

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

84371040 is a wasteful number, since it uses less digits than its factorization.

84371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84371040 is about 9185.3709778103. The cubic root of 84371040 is about 438.5957989296.

Adding to 84371040 its reverse (4017348), we get a palindrome (88388388).

The spelling of 84371040 in words is "eighty-four million, three hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4507 4680 6240 9014 9360 13521 18028 18720 22535 27042 36056 40563 45070 54084 58591 67605 72112 81126 90140 108168 117182 135210 144224 162252 175773 180280 202815 216336 234364 270420 292955 324504 351546 360560 405630 432672 468728 527319 540840 585910 649008 703092 721120 811260 878865 937456 1054638 1081680 1171820 1298016 1406184 1622520 1757730 1874912 2109276 2163360 2343640 2636595 2812368 3245040 3515460 4218552 4687280 5273190 5624736 6490080 7030920 8437104 9374560 10546380 14061840 16874208 21092760 28123680 42185520 84371040