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180473940 = 223353110781
BaseRepresentation
bin10101100000111…
…01000001010100
3110120121000201000
422300131001110
5332200131230
625524103300
74321001043
oct1260350124
9416530630
10180473940
1192966819
1250534b30
132b50b81a
1419d7c55a
1510c9db60
hexac1d054

180473940 has 96 divisors (see below), whose sum is σ = 579640320. Its totient is φ = 46569600.

The previous prime is 180473903. The next prime is 180473959. The reversal of 180473940 is 49374081.

It is a happy number.

180473940 is a `hidden beast` number, since 180 + 473 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180473895 and 180473904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11350 + ... + 22130.

It is an arithmetic number, because the mean of its divisors is an integer number (6037920).

Almost surely, 2180473940 is an apocalyptic number.

180473940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180473940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289820160).

180473940 is an abundant number, since it is smaller than the sum of its proper divisors (399166380).

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

180473940 is a wasteful number, since it uses less digits than its factorization.

180473940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180473940 is about 13434.0589547612. The cubic root of 180473940 is about 565.1167326092.

The spelling of 180473940 in words is "one hundred eighty million, four hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 10781 16740 21562 32343 43124 53905 64686 97029 107810 129372 161715 194058 215620 291087 323430 334211 388116 485145 582174 646860 668422 970290 1002633 1164348 1336844 1455435 1671055 1940580 2005266 2910870 3007899 3342110 4010532 5013165 5821740 6015798 6684220 9023697 10026330 12031596 15039495 18047394 20052660 30078990 36094788 45118485 60157980 90236970 180473940