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84064512 = 283719823
BaseRepresentation
bin1010000001010…
…11100100000000
312212011220211110
411000223210000
5133010031022
612201443320
72040352020
oct500534400
9185156743
1084064512
11434a7a04
12241a0540
131455441c
14b243a80
1575a800c
hex502b900

84064512 has 144 divisors (see below), whose sum is σ = 269480960. Its totient is φ = 22726656.

The previous prime is 84064501. The next prime is 84064543. The reversal of 84064512 is 21546048.

It is a self number, because there is not a number n which added to its sum of digits gives 84064512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101733 + ... + 102555.

Almost surely, 284064512 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 84064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134740480).

84064512 is an abundant number, since it is smaller than the sum of its proper divisors (185416448).

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

84064512 is a wasteful number, since it uses less digits than its factorization.

84064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 84064512 is about 9168.6701325765. The cubic root of 84064512 is about 438.0640009894.

The spelling of 84064512 in words is "eighty-four million, sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 823 896 912 1064 1216 1344 1596 1646 1792 1824 2128 2432 2469 2688 3192 3292 3648 4256 4864 4938 5376 5761 6384 6584 7296 8512 9876 11522 12768 13168 14592 15637 17024 17283 19752 23044 25536 26336 31274 34048 34566 39504 46088 46911 51072 52672 62548 69132 79008 92176 93822 102144 105344 109459 125096 138264 158016 184352 187644 210688 218918 250192 276528 316032 328377 368704 375288 437836 500384 553056 632064 656754 737408 750576 875672 1000768 1106112 1313508 1474816 1501152 1751344 2001536 2212224 2627016 3002304 3502688 4003072 4424448 5254032 6004608 7005376 10508064 12009216 14010752 21016128 28021504 42032256 84064512