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20115249 = 371131532
BaseRepresentation
bin100110010111…
…0111100110001
31101211221221020
41030232330301
520122141444
61555050053
7332656020
oct114567461
941757836
1020115249
1110399980
1268a0929
134223a1b
1429588b7
151b75119
hex132ef31

20115249 has 48 divisors (see below), whose sum is σ = 35180544. Its totient is φ = 9921600.

The previous prime is 20115247. The next prime is 20115253. The reversal of 20115249 is 94251102.

It is not a de Polignac number, because 20115249 - 21 = 20115247 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20115247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379507 + ... + 379559.

It is an arithmetic number, because the mean of its divisors is an integer number (732928).

Almost surely, 220115249 is an apocalyptic number.

It is an amenable number.

20115249 is a deficient number, since it is larger than the sum of its proper divisors (15065295).

20115249 is a wasteful number, since it uses less digits than its factorization.

20115249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 20115249 is about 4485.0026755845. The cubic root of 20115249 is about 271.9621532189.

Subtracting from 20115249 its sum of digits (24), we obtain a square (20115225 = 44852).

It can be divided in two parts, 2011 and 5249, that added together give a triangular number (7260 = T120).

The spelling of 20115249 in words is "twenty million, one hundred fifteen thousand, two hundred forty-nine".

Divisors: 1 3 7 11 21 31 33 53 77 93 159 217 231 341 371 583 651 1023 1113 1643 1749 2387 2809 4081 4929 7161 8427 11501 12243 18073 19663 30899 34503 54219 58989 87079 92697 126511 216293 261237 379533 609553 648879 957869 1828659 2873607 6705083 20115249