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686446020 = 2232513319463
BaseRepresentation
bin101000111010100…
…101010111000100
31202211200001220200
4220322211113010
52401212233040
6152040530500
723003460231
oct5072452704
91684601820
10686446020
11322532067
12171a80a30
13ac2a4ca0
146724a788
15403e6630
hex28ea55c4

686446020 has 144 divisors (see below), whose sum is σ = 2314970112. Its totient is φ = 163503360.

The previous prime is 686445997. The next prime is 686446027. The reversal of 686446020 is 20644686.

It is a happy number.

686446020 is a `hidden beast` number, since 6 + 8 + 6 + 44 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (686446027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67809 + ... + 77271.

Almost surely, 2686446020 is an apocalyptic number.

686446020 is a gapful number since it is divisible by the number (60) 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 686446020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157485056).

686446020 is an abundant number, since it is smaller than the sum of its proper divisors (1628524092).

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

686446020 is a wasteful number, since it uses less digits than its factorization.

686446020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 686446020 is about 26200.1148852443. The cubic root of 686446020 is about 882.1358329679.

The spelling of 686446020 in words is "six hundred eighty-six million, four hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 9463 12090 14508 18135 18926 24180 28389 36270 37852 47315 56778 72540 85167 94630 113556 123019 141945 170334 189260 246038 283890 293353 340668 369057 425835 492076 567780 586706 615095 738114 851670 880059 1107171 1173412 1230190 1466765 1476228 1703340 1760118 1845285 2214342 2460380 2640177 2933530 3520236 3690570 3813589 4400295 4428684 5280354 5535855 5867060 7381140 7627178 8800590 10560708 11071710 11440767 13200885 15254356 17601180 19067945 22143420 22881534 26401770 34322301 38135890 45763068 52803540 57203835 68644602 76271780 114407670 137289204 171611505 228815340 343223010 686446020