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13888500 = 2235347197
BaseRepresentation
bin110100111110…
…101111110100
3222010121102220
4310332233310
512023413000
61213402340
7226023153
oct64765764
928117386
1013888500
1179266aa
1247993b0
132b53762
141bb759a
1513451a0
hexd3ebf4

13888500 has 96 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3606400.

The previous prime is 13888499. The next prime is 13888519. The reversal of 13888500 is 588831.

It is a congruent number.

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, 70402 + ... + 70598.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 213888500 is an apocalyptic number.

13888500 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 13888500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

13888500 is an abundant number, since it is smaller than the sum of its proper divisors (27624972).

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

13888500 is a wasteful number, since it uses less digits than its factorization.

13888500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 13888500 is about 3726.7277872149. The cubic root of 13888500 is about 240.3726848643.

The spelling of 13888500 in words is "thirteen million, eight hundred eighty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 125 141 150 188 197 235 250 282 300 375 394 470 500 564 591 705 750 788 940 985 1175 1182 1410 1500 1970 2350 2364 2820 2955 3525 3940 4700 4925 5875 5910 7050 9259 9850 11750 11820 14100 14775 17625 18518 19700 23500 24625 27777 29550 35250 37036 46295 49250 55554 59100 70500 73875 92590 98500 111108 138885 147750 185180 231475 277770 295500 462950 555540 694425 925900 1157375 1388850 2314750 2777700 3472125 4629500 6944250 13888500