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18201040 = 24511133743
BaseRepresentation
bin100010101101…
…1100111010000
31021020201010121
41011123213100
514124413130
61450040024
7310464154
oct105334720
937221117
1018201040
11a301790
126119014
133a03660
1425bb064
1518e7d7a
hex115b9d0

18201040 has 160 divisors (see below), whose sum is σ = 52246656. Its totient is φ = 5806080.

The previous prime is 18201013. The next prime is 18201041. The reversal of 18201040 is 4010281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18201041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423259 + ... + 423301.

Almost surely, 218201040 is an apocalyptic number.

18201040 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 18201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123328).

18201040 is an abundant number, since it is smaller than the sum of its proper divisors (34045616).

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

18201040 is a wasteful number, since it uses less digits than its factorization.

18201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 18201040 is about 4266.2676896791. The cubic root of 18201040 is about 263.0462216419.

The spelling of 18201040 in words is "eighteen million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 43 44 52 55 65 74 80 86 88 104 110 130 143 148 172 176 185 208 215 220 260 286 296 344 370 407 430 440 473 481 520 559 572 592 688 715 740 814 860 880 946 962 1040 1118 1144 1430 1480 1591 1628 1720 1892 1924 2035 2236 2288 2365 2405 2795 2860 2960 3182 3256 3440 3784 3848 4070 4472 4730 4810 5291 5590 5720 6149 6364 6512 7568 7696 7955 8140 8944 9460 9620 10582 11180 11440 12298 12728 15910 16280 17501 18920 19240 20683 21164 22360 24596 25456 26455 30745 31820 32560 35002 37840 38480 41366 42328 44720 49192 52910 61490 63640 70004 82732 84656 87505 98384 103415 105820 122980 127280 140008 165464 175010 206830 211640 227513 245960 280016 330928 350020 413660 423280 455026 491920 700040 827320 910052 1137565 1400080 1654640 1820104 2275130 3640208 4550260 9100520 18201040