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180769230 = 232519611733
BaseRepresentation
bin10101100011001…
…01000111001110
3110121011000202200
422301211013032
5332234103410
625534302330
74323340665
oct1261450716
9417130680
10180769230
1193048664
12506579a6
132b5b3055
141a017ddc
1510d0b3c0
hexac651ce

180769230 has 96 divisors (see below), whose sum is σ = 503137440. Its totient is φ = 44893440.

The previous prime is 180769219. The next prime is 180769231. The reversal of 180769230 is 32967081.

180769230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

180769230 is a modest number, since divided by 769230 gives 180 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180769231) 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, 103444 + ... + 105176.

It is an arithmetic number, because the mean of its divisors is an integer number (5241015).

Almost surely, 2180769230 is an apocalyptic number.

180769230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180769230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251568720).

180769230 is an abundant number, since it is smaller than the sum of its proper divisors (322368210).

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

180769230 is a wasteful number, since it uses less digits than its factorization.

180769230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 180769230 is about 13445.0448121232. The cubic root of 180769230 is about 565.4247778046.

The spelling of 180769230 in words is "one hundred eighty million, seven hundred sixty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 61 90 95 114 122 171 183 190 285 305 342 366 549 570 610 855 915 1098 1159 1710 1733 1830 2318 2745 3466 3477 5199 5490 5795 6954 8665 10398 10431 11590 15597 17330 17385 20862 25995 31194 32927 34770 51990 52155 65854 77985 98781 104310 105713 155970 164635 197562 211426 296343 317139 329270 493905 528565 592686 634278 951417 987810 1057130 1481715 1585695 1902834 2008547 2963430 3171390 4017094 4757085 6025641 9514170 10042735 12051282 18076923 20085470 30128205 36153846 60256410 90384615 180769230