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180531234 = 233132291123
BaseRepresentation
bin10101100001010…
…11000000100010
3110120200221022000
422300223000202
5332203444414
625525224430
74321330062
oct1260530042
9416627260
10180531234
11929a5874
1250562116
132b52b920
1419d953a2
1510cb0b09
hexac2b022

180531234 has 64 divisors (see below), whose sum is σ = 434313600. Its totient is φ = 55256256.

The previous prime is 180531229. The next prime is 180531283. The reversal of 180531234 is 432135081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 180531198 and 180531207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160197 + ... + 161319.

It is an arithmetic number, because the mean of its divisors is an integer number (6786150).

Almost surely, 2180531234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180531234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217156800).

180531234 is an abundant number, since it is smaller than the sum of its proper divisors (253782366).

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

180531234 is a wasteful number, since it uses less digits than its factorization.

180531234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 180531234 is about 13436.1912013785. The cubic root of 180531234 is about 565.1765277102.

The spelling of 180531234 in words is "one hundred eighty million, five hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 229 234 351 458 687 702 1123 1374 2061 2246 2977 3369 4122 5954 6183 6738 8931 10107 12366 14599 17862 20214 26793 29198 30321 43797 53586 60642 80379 87594 131391 160758 257167 262782 394173 514334 771501 788346 1543002 2314503 3343171 4629006 6686342 6943509 10029513 13887018 20059026 30088539 60177078 90265617 180531234