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13388550 = 2352741311
BaseRepresentation
bin110011000100…
…101100000110
3221012012122020
4303010230012
511411413200
61154544010
7221541450
oct63045406
927165566
1013388550
11761501a
124598006
132a0a026
141ac72d0
151296ea0
hexcc4b06

13388550 has 96 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 2976000.

The previous prime is 13388549. The next prime is 13388563. The reversal of 13388550 is 5588331.

It is a super-2 number, since 2×133885502 = 358506542205000, which contains 22 as substring.

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, 42895 + ... + 43205.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 213388550 is an apocalyptic number.

13388550 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 13388550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

13388550 is an abundant number, since it is smaller than the sum of its proper divisors (25608954).

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

13388550 is a wasteful number, since it uses less digits than its factorization.

13388550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 13388550 is about 3659.0367584926. The cubic root of 13388550 is about 237.4531024668.

The spelling of 13388550 in words is "thirteen million, three hundred eighty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 311 350 410 525 574 615 622 861 933 1025 1050 1230 1435 1555 1722 1866 2050 2177 2870 3075 3110 4305 4354 4665 6150 6531 7175 7775 8610 9330 10885 12751 13062 14350 15550 21525 21770 23325 25502 32655 38253 43050 46650 54425 63755 65310 76506 89257 108850 127510 163275 178514 191265 267771 318775 326550 382530 446285 535542 637550 892570 956325 1338855 1912650 2231425 2677710 4462850 6694275 13388550