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189024030 = 23451329619
BaseRepresentation
bin10110100010001…
…00011100011110
3111011200102020000
423101010130132
5341342232110
630431235130
74453451316
oct1321043436
9434612200
10189024030
1197776608
1253378aa6
1330213450
141b166446
15118dc1c0
hexb44471e

189024030 has 160 divisors (see below), whose sum is σ = 567151200. Its totient is φ = 44851968.

The previous prime is 189024013. The next prime is 189024053. The reversal of 189024030 is 30420981.

It is a super-3 number, since 3×1890240303 (a number of 26 digits) contains 333 as substring.

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 = 189023985 and 189024003.

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 79 ways as a sum of consecutive naturals, for example, 305061 + ... + 305679.

It is an arithmetic number, because the mean of its divisors is an integer number (3544695).

Almost surely, 2189024030 is an apocalyptic number.

189024030 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 189024030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283575600).

189024030 is an abundant number, since it is smaller than the sum of its proper divisors (378127170).

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

189024030 is a wasteful number, since it uses less digits than its factorization.

189024030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 189024030 is about 13748.6010197402. The cubic root of 189024030 is about 573.9036753546.

The spelling of 189024030 in words is "one hundred eighty-nine million, twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 81 87 90 117 130 135 145 162 174 195 234 261 270 290 351 377 390 405 435 522 585 619 702 754 783 810 870 1053 1131 1170 1238 1305 1566 1755 1857 1885 2106 2262 2349 2610 3095 3393 3510 3714 3770 3915 4698 5265 5571 5655 6190 6786 7830 8047 9285 10179 10530 11142 11310 11745 16094 16713 16965 17951 18570 20358 23490 24141 27855 30537 33426 33930 35902 40235 48282 50139 50895 53853 55710 61074 72423 80470 83565 89755 100278 101790 107706 120705 144846 152685 161559 167130 179510 217269 233363 241410 250695 269265 305370 323118 362115 434538 466726 484677 501390 538530 651807 700089 724230 807795 969354 1086345 1166815 1303614 1400178 1454031 1615590 2100267 2172690 2333630 2423385 2908062 3259035 3500445 4200534 4846770 6300801 6518070 7000890 7270155 10501335 12601602 14540310 18902403 21002670 31504005 37804806 63008010 94512015 189024030