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13981500 = 22325313239
BaseRepresentation
bin110101010101…
…011100111100
3222022100000100
4311111130330
512034402000
61215401100
7226561251
oct65253474
928270010
1013981500
11798a565
124823190
132b86ba0
141bdd428
151362a00
hexd5573c

13981500 has 144 divisors (see below), whose sum is σ = 47698560. Its totient is φ = 3427200.

The previous prime is 13981477. The next prime is 13981501. The reversal of 13981500 is 518931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13981501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58381 + ... + 58619.

It is an arithmetic number, because the mean of its divisors is an integer number (331240).

Almost surely, 213981500 is an apocalyptic number.

13981500 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 13981500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280).

13981500 is an abundant number, since it is smaller than the sum of its proper divisors (33717060).

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

13981500 is a wasteful number, since it uses less digits than its factorization.

13981500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13981500 is about 3739.1844030483. The cubic root of 13981500 is about 240.9080185935.

The spelling of 13981500 in words is "thirteen million, nine hundred eighty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 239 250 260 300 325 375 390 450 468 478 500 585 650 717 750 780 900 956 975 1125 1170 1195 1300 1434 1500 1625 1950 2151 2250 2340 2390 2868 2925 3107 3250 3585 3900 4302 4500 4780 4875 5850 5975 6214 6500 7170 8604 9321 9750 10755 11700 11950 12428 14340 14625 15535 17925 18642 19500 21510 23900 27963 29250 29875 31070 35850 37284 43020 46605 53775 55926 58500 59750 62140 71700 77675 89625 93210 107550 111852 119500 139815 155350 179250 186420 215100 233025 268875 279630 310700 358500 388375 466050 537750 559260 699075 776750 932100 1075500 1165125 1398150 1553500 2330250 2796300 3495375 4660500 6990750 13981500