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189972060 = 223537831031
BaseRepresentation
bin10110101001010…
…11111001011100
3111020110120200020
423110223321130
5342113101220
630503432140
74464510255
oct1324537134
9436416606
10189972060
1198263903
1253755650
1330485b05
141b331b2c
1511a28040
hexb52be5c

189972060 has 96 divisors (see below), whose sum is σ = 553416192. Its totient is φ = 48648960.

The previous prime is 189972053. The next prime is 189972071. The reversal of 189972060 is 60279981.

It is a congruent number.

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, 183745 + ... + 184775.

It is an arithmetic number, because the mean of its divisors is an integer number (5764752).

Almost surely, 2189972060 is an apocalyptic number.

189972060 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 189972060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276708096).

189972060 is an abundant number, since it is smaller than the sum of its proper divisors (363444132).

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

189972060 is a wasteful number, since it uses less digits than its factorization.

189972060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 189972060 is about 13783.0352245070. The cubic root of 189972060 is about 574.8615268316.

The spelling of 189972060 in words is "one hundred eighty-nine million, nine hundred seventy-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 83 111 148 166 185 222 249 332 370 415 444 498 555 740 830 996 1031 1110 1245 1660 2062 2220 2490 3071 3093 4124 4980 5155 6142 6186 9213 10310 12284 12372 15355 15465 18426 20620 30710 30930 36852 38147 46065 61420 61860 76294 85573 92130 114441 152588 171146 184260 190735 228882 256719 342292 381470 427865 457764 513438 572205 762940 855730 1026876 1144410 1283595 1711460 2288820 2567190 3166201 5134380 6332402 9498603 12664804 15831005 18997206 31662010 37994412 47493015 63324020 94986030 189972060