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123380620 = 225113179229
BaseRepresentation
bin1110101101010…
…10001110001100
322121011101101121
413112222032030
5223041134440
620124250324
73025501156
oct726521614
9277141347
10123380620
1163710760
12353a09a4
131c73b8ac
1412559ad6
15ac7234a
hex75aa38c

123380620 has 96 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 42681600.

The previous prime is 123380617. The next prime is 123380669. The reversal of 123380620 is 26083321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538666 + ... + 538894.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 2123380620 is an apocalyptic number.

123380620 is a gapful number since it is divisible by the number (10) 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 123380620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377600).

123380620 is an abundant number, since it is smaller than the sum of its proper divisors (173374580).

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

123380620 is a wasteful number, since it uses less digits than its factorization.

123380620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 123380620 is about 11107.6829266954. The cubic root of 123380620 is about 497.8314349150.

The spelling of 123380620 in words is "one hundred twenty-three million, three hundred eighty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 79 110 124 155 158 220 229 310 316 341 395 458 620 682 790 869 916 1145 1364 1580 1705 1738 2290 2449 2519 3410 3476 4345 4580 4898 5038 6820 7099 8690 9796 10076 12245 12595 14198 17380 18091 24490 25190 26939 28396 35495 36182 48980 50380 53878 70990 72364 78089 90455 107756 134695 141980 156178 180910 199001 269390 312356 361820 390445 398002 538780 560821 780890 796004 995005 1121642 1561780 1990010 2243284 2804105 3980020 5608210 6169031 11216420 12338062 24676124 30845155 61690310 123380620