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180499914 = 2357173121
BaseRepresentation
bin10101100001000…
…11010111001010
3110120122100100000
422300203113022
5332201444124
625524423430
74321136550
oct1260432712
9416570300
10180499914
1192984291
1250547b76
132b51a5aa
1419d87bd0
1510ca66c9
hexac235ca

180499914 has 96 divisors (see below), whose sum is σ = 490928256. Its totient is φ = 48522240.

The previous prime is 180499889. The next prime is 180499933. The reversal of 180499914 is 419994081.

180499914 = T307 + T308 + ... + T1035.

It is a self number, because there is not a number n which added to its sum of digits gives 180499914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56274 + ... + 59394.

It is an arithmetic number, because the mean of its divisors is an integer number (5113836).

Almost surely, 2180499914 is an apocalyptic number.

180499914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180499914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245464128).

180499914 is an abundant number, since it is smaller than the sum of its proper divisors (310428342).

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

180499914 is a wasteful number, since it uses less digits than its factorization.

180499914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 180499914 is about 13435.0256419554. The cubic root of 180499914 is about 565.1438420410.

The spelling of 180499914 in words is "one hundred eighty million, four hundred ninety-nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1701 2142 2754 3121 3213 3402 4131 6242 6426 8262 9363 9639 18726 19278 21847 28089 28917 43694 53057 56178 57834 65541 84267 106114 131082 159171 168534 196623 252801 318342 371399 393246 477513 505602 589869 742798 758403 955026 1114197 1179738 1432539 1516806 1769607 2228394 2865078 3342591 3539214 4297617 5308821 6685182 8595234 10027773 10617642 12892851 20055546 25785702 30083319 60166638 90249957 180499914