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84058040 = 23511732617
BaseRepresentation
bin1010000001010…
…01111110111000
312212011120221202
411000221332320
5133004324130
612201353332
72040324113
oct500517670
9185146852
1084058040
11434a3060
1224198848
13145514b1
14b24157a
1575a6145
hex5029fb8

84058040 has 64 divisors (see below), whose sum is σ = 209230560. Its totient is φ = 30136320.

The previous prime is 84058027. The next prime is 84058049. The reversal of 84058040 is 4085048.

It is a junction number, because it is equal to n+sod(n) for n = 84057994 and 84058012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84058049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30812 + ... + 33428.

Almost surely, 284058040 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 84058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104615280).

84058040 is an abundant number, since it is smaller than the sum of its proper divisors (125172520).

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

84058040 is a wasteful number, since it uses less digits than its factorization.

84058040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 84058040 is about 9168.3171847401. The cubic root of 84058040 is about 438.0527587386.

The spelling of 84058040 in words is "eighty-four million, fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2617 2920 3212 4015 5234 6424 8030 10468 13085 16060 20936 26170 28787 32120 52340 57574 104680 115148 143935 191041 230296 287870 382082 575740 764164 955205 1151480 1528328 1910410 2101451 3820820 4202902 7641640 8405804 10507255 16811608 21014510 42029020 84058040