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13998360 = 2335315371
BaseRepresentation
bin110101011001…
…100100011000
3222100012010210
4311121210120
512040421420
61220011120
7226661355
oct65314430
928305123
1013998360
1179a11a2
124830aa0
132b9176c
141c0562c
1513679e0
hexd59918

13998360 has 128 divisors (see below), whose sum is σ = 44789760. Its totient is φ = 3494400.

The previous prime is 13998353. The next prime is 13998427. The reversal of 13998360 is 6389931.

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 31 ways as a sum of consecutive naturals, for example, 197125 + ... + 197195.

It is an arithmetic number, because the mean of its divisors is an integer number (349920).

Almost surely, 213998360 is an apocalyptic number.

13998360 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 13998360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394880).

13998360 is an abundant number, since it is smaller than the sum of its proper divisors (30791400).

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

13998360 is a wasteful number, since it uses less digits than its factorization.

13998360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 13998360 is about 3741.4382261371. The cubic root of 13998360 is about 241.0048150183.

The spelling of 13998360 in words is "thirteen million, nine hundred ninety-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 53 60 62 71 93 106 120 124 142 155 159 186 212 213 248 265 284 310 318 355 372 424 426 465 530 568 620 636 710 744 795 852 930 1060 1065 1240 1272 1420 1590 1643 1704 1860 2120 2130 2201 2840 3180 3286 3720 3763 4260 4402 4929 6360 6572 6603 7526 8215 8520 8804 9858 11005 11289 13144 13206 15052 16430 17608 18815 19716 22010 22578 24645 26412 30104 32860 33015 37630 39432 44020 45156 49290 52824 56445 65720 66030 75260 88040 90312 98580 112890 116653 132060 150520 197160 225780 233306 264120 349959 451560 466612 583265 699918 933224 1166530 1399836 1749795 2333060 2799672 3499590 4666120 6999180 13998360