Search a number
-
+
18900700 = 22527133167
BaseRepresentation
bin100100000011…
…0011011011100
31022120020212221
41020012123130
514314310300
61513035124
7316440040
oct110063334
938506787
1018900700
11a73a415
1263b5aa4
133bb9c60
142720020
1519d531a
hex12066dc

18900700 has 144 divisors (see below), whose sum is σ = 52885504. Its totient is φ = 5702400.

The previous prime is 18900691. The next prime is 18900703. The reversal of 18900700 is 700981.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18900703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282067 + ... + 282133.

Almost surely, 218900700 is an apocalyptic number.

18900700 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 18900700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442752).

18900700 is an abundant number, since it is smaller than the sum of its proper divisors (33984804).

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

18900700 is a wasteful number, since it uses less digits than its factorization.

18900700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 18900700 is about 4347.4935307600. The cubic root of 18900700 is about 266.3744890155.

It can be divided in two parts, 18900 and 700, that added together give a square (19600 = 1402).

The spelling of 18900700 in words is "eighteen million, nine hundred thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 31 35 50 52 62 65 67 70 91 100 124 130 134 140 155 175 182 217 260 268 310 325 335 350 364 403 434 455 469 620 650 670 700 775 806 868 871 910 938 1085 1300 1340 1550 1612 1675 1742 1820 1876 2015 2077 2170 2275 2345 2821 3100 3350 3484 4030 4154 4340 4355 4550 4690 5425 5642 6097 6700 8060 8308 8710 9100 9380 10075 10385 10850 11284 11725 12194 14105 14539 17420 20150 20770 21700 21775 23450 24388 27001 28210 29078 30485 40300 41540 43550 46900 51925 54002 56420 58156 60970 70525 72695 87100 103850 108004 121940 135005 141050 145390 152425 189007 207700 270010 282100 290780 304850 363475 378014 540020 609700 675025 726950 756028 945035 1350050 1453900 1890070 2700100 3780140 4725175 9450350 18900700