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14207193 = 32711131983
BaseRepresentation
bin110110001100…
…100011011001
3222201210121100
4312030203121
512114112233
61224302013
7231521250
oct66144331
928653540
1014207193
118024090
124911909
132c35830
141c5b797
1513a9813
hexd8c8d9

14207193 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 6376320.

The previous prime is 14207183. The next prime is 14207209. The reversal of 14207193 is 39170241.

14207193 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 not a de Polignac number, because 14207193 - 24 = 14207177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14207143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171130 + ... + 171212.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 214207193 is an apocalyptic number.

14207193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14207193 is an abundant number, since it is smaller than the sum of its proper divisors (15145767).

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

14207193 is a wasteful number, since it uses less digits than its factorization.

14207193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14207193 is about 3769.2430274526. The cubic root of 14207193 is about 242.1973721650.

It can be divided in two parts, 14207 and 193, that added together give a square (14400 = 1202).

The spelling of 14207193 in words is "fourteen million, two hundred seven thousand, one hundred ninety-three".

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 83 91 99 117 133 143 171 209 231 247 249 273 399 429 581 627 693 741 747 819 913 1001 1079 1197 1287 1463 1577 1729 1743 1881 2223 2717 2739 3003 3237 4389 4731 5187 5229 6391 7553 8151 8217 9009 9711 11039 11869 13167 14193 15561 17347 19019 19173 20501 22659 24453 33117 35607 52041 57057 57519 61503 67977 83083 99351 106821 121429 143507 156123 171171 184509 225511 249249 364287 430521 676533 747747 1092861 1291563 1578577 2029599 4735731 14207193