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686573640 = 233253735113
BaseRepresentation
bin101000111011000…
…100100001001000
31202211220112222100
4220323010201020
52401230324030
6152043353400
723004531264
oct5073044110
91684815870
10686573640
11322609a35
12171b22860
13ac31b0bc
14672810a4
154041e360
hex28ec4848

686573640 has 96 divisors (see below), whose sum is σ = 2237784120. Its totient is φ = 182559744.

The previous prime is 686573639. The next prime is 686573651. The reversal of 686573640 is 46375686.

It can be written as a sum of positive squares in 4 ways, for example, as 343509156 + 343064484 = 18534^2 + 18522^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131724 + ... + 136836.

Almost surely, 2686573640 is an apocalyptic number.

686573640 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 686573640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118892060).

686573640 is an abundant number, since it is smaller than the sum of its proper divisors (1551210480).

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

686573640 is a wasteful number, since it uses less digits than its factorization.

686573640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 686573640 is about 26202.5502575608. The cubic root of 686573640 is about 882.1904967462.

The spelling of 686573640 in words is "six hundred eighty-six million, five hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 373 746 1119 1492 1865 2238 2984 3357 3730 4476 5113 5595 6714 7460 8952 10226 11190 13428 14920 15339 16785 20452 22380 25565 26856 30678 33570 40904 44760 46017 51130 61356 67140 76695 92034 102260 122712 134280 153390 184068 204520 230085 306780 368136 460170 613560 920340 1840680 1907149 3814298 5721447 7628596 9535745 11442894 15257192 17164341 19071490 22885788 28607235 34328682 38142980 45771576 57214470 68657364 76285960 85821705 114428940 137314728 171643410 228857880 343286820 686573640