Search a number
-
+
84706692 = 22372712029
BaseRepresentation
bin1010000110010…
…00010110000100
312220101112201220
411003020112010
5133141103232
612223320340
72045665200
oct503102604
9186345656
1084706692
11438a6434
12244500b0
131471a805
14b36db00
15768342c
hex50c8584

84706692 has 72 divisors (see below), whose sum is σ = 233271360. Its totient is φ = 23849280.

The previous prime is 84706691. The next prime is 84706703. The reversal of 84706692 is 29660748.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (84706691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40734 + ... + 42762.

It is an arithmetic number, because the mean of its divisors is an integer number (3239880).

Almost surely, 284706692 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 84706692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635680).

84706692 is an abundant number, since it is smaller than the sum of its proper divisors (148564668).

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

84706692 is a wasteful number, since it uses less digits than its factorization.

84706692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 84706692 is about 9203.6238515054. The cubic root of 84706692 is about 439.1766489687.

The spelling of 84706692 in words is "eighty-four million, seven hundred six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2029 2982 3479 4058 5964 6087 6958 8116 10437 12174 13916 14203 20874 24348 28406 41748 42609 56812 85218 99421 144059 170436 198842 288118 298263 397684 432177 576236 596526 864354 1008413 1193052 1728708 2016826 3025239 4033652 6050478 7058891 12100956 14117782 21176673 28235564 42353346 84706692