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686222640 = 243252114517
BaseRepresentation
bin101000111001101…
…110110100110000
31202211020201111100
4220321232310300
52401133111030
6152032044400
723001540045
oct5071566460
91684221440
10686222640
1132239a254
12171993700
13ac2273cc
14671cd1cc
15403a0360
hex28e6ed30

686222640 has 120 divisors (see below), whose sum is σ = 2315999088. Its totient is φ = 182085120.

The previous prime is 686222633. The next prime is 686222651. The reversal of 686222640 is 46222686.

686222640 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 2 + 2 + 640 = 666.

686222640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 686222595 and 686222604.

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, 149662 + ... + 154178.

Almost surely, 2686222640 is an apocalyptic number.

686222640 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 686222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157999544).

686222640 is an abundant number, since it is smaller than the sum of its proper divisors (1629776448).

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

686222640 is a wasteful number, since it uses less digits than its factorization.

686222640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4738 counting only the distinct ones).

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

The square root of 686222640 is about 26195.8515799735. The cubic root of 686222640 is about 882.0401357706.

The spelling of 686222640 in words is "six hundred eighty-six million, two hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 211 240 360 422 633 720 844 1055 1266 1688 1899 2110 2532 3165 3376 3798 4220 4517 5064 6330 7596 8440 9034 9495 10128 12660 13551 15192 16880 18068 18990 22585 25320 27102 30384 36136 37980 40653 45170 50640 54204 67755 72272 75960 81306 90340 108408 135510 151920 162612 180680 203265 216816 271020 325224 361360 406530 542040 650448 813060 953087 1084080 1626120 1906174 2859261 3252240 3812348 4765435 5718522 7624696 8577783 9530870 11437044 14296305 15249392 17155566 19061740 22874088 28592610 34311132 38123480 42888915 45748176 57185220 68622264 76246960 85777830 114370440 137244528 171555660 228740880 343111320 686222640