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18940320 = 2532571879
BaseRepresentation
bin100100001000…
…0000110100000
31022122021020100
41020100012200
514322042240
61513542400
7316663410
oct110200640
938567210
1018940320
11a767163
126414a00
133c01cb9
142730640
1519e1e30
hex12101a0

18940320 has 144 divisors (see below), whose sum is σ = 73906560. Its totient is φ = 4326912.

The previous prime is 18940309. The next prime is 18940333. The reversal of 18940320 is 2304981.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9141 + ... + 11019.

It is an arithmetic number, because the mean of its divisors is an integer number (513240).

Almost surely, 218940320 is an apocalyptic number.

18940320 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 18940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36953280).

18940320 is an abundant number, since it is smaller than the sum of its proper divisors (54966240).

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

18940320 is a wasteful number, since it uses less digits than its factorization.

18940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1896 counting only the distinct ones).

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

The square root of 18940320 is about 4352.0477938552. The cubic root of 18940320 is about 266.5604855042.

The spelling of 18940320 in words is "eighteen million, nine hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 1879 2016 2520 3360 3758 5040 5637 7516 9395 10080 11274 13153 15032 16911 18790 22548 26306 28185 30064 33822 37580 39459 45096 52612 56370 60128 65765 67644 75160 78918 84555 90192 105224 112740 118377 131530 135288 150320 157836 169110 180384 197295 210448 225480 236754 263060 270576 300640 315672 338220 394590 420896 450960 473508 526120 541152 591885 631344 676440 789180 901920 947016 1052240 1183770 1262688 1352880 1578360 1894032 2104480 2367540 2705760 3156720 3788064 4735080 6313440 9470160 18940320