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13059900 = 2233527691
BaseRepresentation
bin110001110100…
…011100111100
3220120111211000
4301310130330
511320404100
61143530300
7216002340
oct61643474
926514730
1013059900
117410107
124459990
132923569
141a3d620
15122e900
hexc7473c

13059900 has 144 divisors (see below), whose sum is σ = 48052480. Its totient is φ = 2980800.

The previous prime is 13059899. The next prime is 13059923. The reversal of 13059900 is 995031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18555 + ... + 19245.

Almost surely, 213059900 is an apocalyptic number.

13059900 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 13059900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24026240).

13059900 is an abundant number, since it is smaller than the sum of its proper divisors (34992580).

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

13059900 is a wasteful number, since it uses less digits than its factorization.

13059900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 13059900 is about 3613.8483642787. The cubic root of 13059900 is about 235.4940564040.

The spelling of 13059900 in words is "thirteen million, fifty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 691 700 756 900 945 1050 1260 1350 1382 1575 1890 2073 2100 2700 2764 3150 3455 3780 4146 4725 4837 6219 6300 6910 8292 9450 9674 10365 12438 13820 14511 17275 18657 18900 19348 20730 24185 24876 29022 31095 34550 37314 41460 43533 48370 51825 58044 62190 69100 72555 74628 87066 93285 96740 103650 120925 124380 130599 145110 155475 174132 186570 207300 217665 241850 261198 290220 310950 362775 373140 435330 466425 483700 522396 621900 652995 725550 870660 932850 1088325 1305990 1451100 1865700 2176650 2611980 3264975 4353300 6529950 13059900