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13802550 = 23521929167
BaseRepresentation
bin110100101001…
…110000110110
3221222020112120
4310221300312
512013140200
61211500410
7225214446
oct64516066
927866476
1013802550
117878073
124757706
132b235b8
141b94126
1513299a0
hexd29c36

13802550 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3346560.

The previous prime is 13802543. The next prime is 13802567. The reversal of 13802550 is 5520831.

13802550 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13802550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82567 + ... + 82733.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 213802550 is an apocalyptic number.

13802550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13802550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13802550 is an abundant number, since it is smaller than the sum of its proper divisors (23695050).

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

13802550 is a wasteful number, since it uses less digits than its factorization.

13802550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 13802550 is about 3715.1783268102. The cubic root of 13802550 is about 239.8758037971.

It can be divided in two parts, 138025 and 50, that added together give a triangular number (138075 = T525).

The spelling of 13802550 in words is "thirteen million, eight hundred two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 50 57 58 75 87 95 114 145 150 167 174 190 285 290 334 435 475 501 551 570 725 835 870 950 1002 1102 1425 1450 1653 1670 2175 2505 2755 2850 3173 3306 4175 4350 4843 5010 5510 6346 8265 8350 9519 9686 12525 13775 14529 15865 16530 19038 24215 25050 27550 29058 31730 41325 47595 48430 72645 79325 82650 92017 95190 121075 145290 158650 184034 237975 242150 276051 363225 460085 475950 552102 726450 920170 1380255 2300425 2760510 4600850 6901275 13802550