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13098240 = 28335379
BaseRepresentation
bin110001111101…
…110100000000
3220122110102000
4301331310000
511323120430
61144424000
7216222201
oct61756400
926573360
1013098240
1174369a1
124478000
132937b4c
141a4d5a8
15123ae60
hexc7dd00

13098240 has 144 divisors (see below), whose sum is σ = 46603200. Its totient is φ = 3483648.

The previous prime is 13098233. The next prime is 13098257. The reversal of 13098240 is 4289031.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34371 + ... + 34749.

Almost surely, 213098240 is an apocalyptic number.

13098240 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 13098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301600).

13098240 is an abundant number, since it is smaller than the sum of its proper divisors (33504960).

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

13098240 is an equidigital number, since it uses as much as digits as its factorization.

13098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13098240 is about 3619.1490712597. The cubic root of 13098240 is about 235.7242782068.

The spelling of 13098240 in words is "thirteen million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 379 384 432 480 540 576 640 720 758 768 864 960 1080 1137 1152 1280 1440 1516 1728 1895 1920 2160 2274 2304 2880 3032 3411 3456 3790 3840 4320 4548 5685 5760 6064 6822 6912 7580 8640 9096 10233 11370 11520 12128 13644 15160 17055 17280 18192 20466 22740 24256 27288 30320 34110 34560 36384 40932 45480 48512 51165 54576 60640 68220 72768 81864 90960 97024 102330 109152 121280 136440 145536 163728 181920 204660 218304 242560 272880 291072 327456 363840 409320 436608 485120 545760 654912 727680 818640 873216 1091520 1309824 1455360 1637280 2183040 2619648 3274560 4366080 6549120 13098240