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188942040 = 233257210711
BaseRepresentation
bin10110100001100…
…00011011011000
3111011112020202100
423100300123120
5341332121130
630425403400
74452660300
oct1320603330
9434466670
10188942040
119771aa51
1253339560
13301b5031
141b144600
15118c2c60
hexb4306d8

188942040 has 144 divisors (see below), whose sum is σ = 714383280. Its totient is φ = 43182720.

The previous prime is 188942027. The next prime is 188942041. The reversal of 188942040 is 40249881.

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 = 188941986 and 188942004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188942041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12285 + ... + 22995.

It is an arithmetic number, because the mean of its divisors is an integer number (4960995).

Almost surely, 2188942040 is an apocalyptic number.

188942040 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 188942040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357191640).

188942040 is an abundant number, since it is smaller than the sum of its proper divisors (525441240).

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

188942040 is a wasteful number, since it uses less digits than its factorization.

188942040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 188942040 is about 13745.6189384109. The cubic root of 188942040 is about 573.8206856111.

The spelling of 188942040 in words is "one hundred eighty-eight million, nine hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 10711 17640 21422 32133 42844 53555 64266 74977 85688 96399 107110 128532 149954 160665 192798 214220 224931 257064 299908 321330 374885 385596 428440 449862 481995 524839 599816 642660 674793 749770 771192 899724 963990 1049678 1124655 1285320 1349586 1499540 1574517 1799448 1927980 2099356 2249310 2624195 2699172 2999080 3149034 3373965 3855960 4198712 4498620 4723551 5248390 5398344 6298068 6747930 7872585 8997240 9447102 10496780 12596136 13495860 15745170 18894204 20993560 23617755 26991720 31490340 37788408 47235510 62980680 94471020 188942040