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13988205 = 3257112367
BaseRepresentation
bin110101010111…
…000101101101
3222022200012200
4311113011231
512040110310
61215452113
7226616640
oct65270555
928280180
1013988205
117994600
124827039
132b89c5a
141c01a57
1513649c0
hexd5716d

13988205 has 72 divisors (see below), whose sum is σ = 30541056. Its totient is φ = 5797440.

The previous prime is 13988203. The next prime is 13988213. The reversal of 13988205 is 50288931.

It is not a de Polignac number, because 13988205 - 21 = 13988203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13988205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13988203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37932 + ... + 38298.

Almost surely, 213988205 is an apocalyptic number.

13988205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13988205 is an abundant number, since it is smaller than the sum of its proper divisors (16552851).

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

13988205 is a wasteful number, since it uses less digits than its factorization.

13988205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13988205 is about 3740.0808814784. The cubic root of 13988205 is about 240.9465225719.

The spelling of 13988205 in words is "thirteen million, nine hundred eighty-eight thousand, two hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 367 385 495 605 693 847 1089 1101 1155 1815 1835 2541 2569 3303 3465 4037 4235 5445 5505 7623 7707 12111 12705 12845 16515 20185 23121 28259 36333 38115 38535 44407 60555 84777 115605 133221 141295 181665 222035 254331 310849 399663 423885 666105 932547 1271655 1554245 1998315 2797641 4662735 13988205