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247320 = 23335229
BaseRepresentation
bin111100011000011000
3110120021000
4330120120
530403240
65145000
72050023
oct743030
9416230
10247320
111598a7
12bb160
1388758
14661ba
154d430
hex3c618

247320 has 64 divisors (see below), whose sum is σ = 828000. Its totient is φ = 65664.

The previous prime is 247309. The next prime is 247337. The reversal of 247320 is 23742.

It is a happy number.

It is a super-2 number, since 2×2473202 = 122334364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 247293 and 247302.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 247320.

It is an unprimeable number.

247320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 1194.

2247320 is an apocalyptic number.

247320 is a gapful number since it is divisible by the number (20) 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 247320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414000).

247320 is an abundant number, since it is smaller than the sum of its proper divisors (580680).

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

247320 is a wasteful number, since it uses less digits than its factorization.

247320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 247320 is about 497.3127788425. The cubic root of 247320 is about 62.7701373971.

The spelling of 247320 in words is "two hundred forty-seven thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 229 270 360 458 540 687 916 1080 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 6183 6870 8244 9160 10305 12366 13740 16488 20610 24732 27480 30915 41220 49464 61830 82440 123660 247320