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149184126 = 23372134337
BaseRepresentation
bin10001110010001…
…01111001111110
3101101201100011000
420321011321332
5301142343001
622445311130
73461021100
oct1071057176
9341640130
10149184126
1177235273
1241b654a6
1324ba4740
1415b55570
15d16ca86
hex8e45e7e

149184126 has 96 divisors (see below), whose sum is σ = 415406880. Its totient is φ = 39336192.

The previous prime is 149184107. The next prime is 149184127. The reversal of 149184126 is 621481941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149184127) 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, 32230 + ... + 36566.

It is an arithmetic number, because the mean of its divisors is an integer number (4327155).

Almost surely, 2149184126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149184126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207703440).

149184126 is an abundant number, since it is smaller than the sum of its proper divisors (266222754).

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

149184126 is a wasteful number, since it uses less digits than its factorization.

149184126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4362 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 149184126 is about 12214.0953819757. The cubic root of 149184126 is about 530.3642043982.

It can be divided in two parts, 14918 and 4126, that added together give a square (19044 = 1382).

The spelling of 149184126 in words is "one hundred forty-nine million, one hundred eighty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1638 1911 2457 2646 3822 4337 4914 5733 8674 11466 13011 17199 26022 30359 34398 39033 56381 60718 78066 91077 112762 117099 169143 182154 212513 234198 273231 338286 394667 425026 507429 546462 637539 789334 819693 1014858 1184001 1275078 1522287 1639386 1912617 2368002 2762669 3044574 3552003 3825234 5525338 5737851 7104006 8288007 10656009 11475702 16576014 21312018 24864021 49728042 74592063 149184126