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84059696 = 247317253
BaseRepresentation
bin1010000001010…
…10011000110000
312212011200020002
411000222120300
5133004402241
612201405132
72040332000
oct500523060
9185150202
1084059696
11434a4326
12241997a8
1314552186
14b242000
1575a689b
hex502a630

84059696 has 120 divisors (see below), whose sum is σ = 205567200. Its totient is φ = 33266688.

The previous prime is 84059681. The next prime is 84059783. The reversal of 84059696 is 69695048.

It is a super-2 number, since 2×840596962 = 14132064983224832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84059696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586006 + ... + 1586058.

It is an arithmetic number, because the mean of its divisors is an integer number (1713060).

Almost surely, 284059696 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 84059696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102783600).

84059696 is an abundant number, since it is smaller than the sum of its proper divisors (121507504).

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

84059696 is a wasteful number, since it uses less digits than its factorization.

84059696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 84059696 is about 9168.4074953069. The cubic root of 84059696 is about 438.0556353645.

The spelling of 84059696 in words is "eighty-four million, fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 53 56 68 98 106 112 119 136 196 212 238 272 289 343 371 392 424 476 578 686 742 784 833 848 901 952 1156 1372 1484 1666 1802 1904 2023 2312 2597 2744 2968 3332 3604 4046 4624 5194 5488 5831 5936 6307 6664 7208 8092 10388 11662 12614 13328 14161 14416 15317 16184 18179 20776 23324 25228 28322 30634 32368 36358 41552 44149 46648 50456 56644 61268 72716 88298 93296 99127 100912 107219 113288 122536 145432 176596 198254 214438 226576 245072 290864 309043 353192 396508 428876 618086 706384 750533 793016 857752 1236172 1501066 1586032 1715504 2472344 3002132 4944688 5253731 6004264 10507462 12008528 21014924 42029848 84059696