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686496240 = 243253130757
BaseRepresentation
bin101000111010110…
…001100111110000
31202211202121210200
4220322301213300
52401220334430
6152041555200
723004056523
oct5072614760
91684677720
10686496240
11322566871
12171aa5b00
13ac2c1ac1
1467260bba
1540406460
hex28eb19f0

686496240 has 120 divisors (see below), whose sum is σ = 2379931008. Its totient is φ = 177154560.

The previous prime is 686496233. The next prime is 686496253. The reversal of 686496240 is 42694686.

686496240 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 Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 6942 + ... + 37698.

Almost surely, 2686496240 is an apocalyptic number.

686496240 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 686496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189965504).

686496240 is an abundant number, since it is smaller than the sum of its proper divisors (1693434768).

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

686496240 is a wasteful number, since it uses less digits than its factorization.

686496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30807 (or 30798 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 686496240 is about 26201.0732604602. The cubic root of 686496240 is about 882.1573446284.

The spelling of 686496240 in words is "six hundred eighty-six million, four hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 30757 61514 92271 123028 153785 184542 246056 276813 307570 369084 461355 492112 553626 615140 738168 922710 953467 1107252 1230280 1384065 1476336 1845420 1906934 2214504 2460560 2768130 2860401 3690840 3813868 4429008 4767335 5536260 5720802 7381680 7627736 8581203 9534670 11072520 11441604 14302005 15255472 17162406 19069340 22145040 22883208 28604010 34324812 38138680 42906015 45766416 57208020 68649624 76277360 85812030 114416040 137299248 171624060 228832080 343248120 686496240