[go: up one dir, main page]

Search a number
-
+
18039120 = 2435116833
BaseRepresentation
bin100010011010…
…0000101010000
31020221111000120
41010310011100
514104222440
61442350240
7306221121
oct104640520
936844016
1018039120
11a201070
12605b380
133977a48
142578048
1518b4dd0
hex1134150

18039120 has 80 divisors (see below), whose sum is σ = 61013952. Its totient is φ = 4372480.

The previous prime is 18039079. The next prime is 18039127. The reversal of 18039120 is 2193081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18039127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777 + ... + 6056.

Almost surely, 218039120 is an apocalyptic number.

18039120 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 18039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30506976).

18039120 is an abundant number, since it is smaller than the sum of its proper divisors (42974832).

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

18039120 is a wasteful number, since it uses less digits than its factorization.

18039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 18039120 is about 4247.2485211016. The cubic root of 18039120 is about 262.2638601994.

The spelling of 18039120 in words is "eighteen million, thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 6833 13666 20499 27332 34165 40998 54664 68330 75163 81996 102495 109328 136660 150326 163992 204990 225489 273320 300652 327984 375815 409980 450978 546640 601304 751630 819960 901956 1127445 1202608 1503260 1639920 1803912 2254890 3006520 3607824 4509780 6013040 9019560 18039120