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18106480 = 2457231149
BaseRepresentation
bin100010100010…
…0100001110000
31021001220102101
41011010201300
514113401410
61444030144
7306621400
oct105044160
937056371
1018106480
11a247737
126092354
13399c5c2
142594800
1518c9d3a
hex1144870

18106480 has 120 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 5967360.

The previous prime is 18106477. The next prime is 18106489. The reversal of 18106480 is 8460181.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18106489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121446 + ... + 121594.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 218106480 is an apocalyptic number.

18106480 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 18106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

18106480 is an abundant number, since it is smaller than the sum of its proper divisors (32783120).

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

18106480 is a wasteful number, since it uses less digits than its factorization.

18106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 18106480 is about 4255.1709718882. The cubic root of 18106480 is about 262.5898951371.

The spelling of 18106480 in words is "eighteen million, one hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 149 155 196 217 245 248 280 298 310 392 434 490 496 560 596 620 745 784 868 980 1043 1085 1192 1240 1490 1519 1736 1960 2086 2170 2384 2480 2980 3038 3472 3920 4172 4340 4619 5215 5960 6076 7301 7595 8344 8680 9238 10430 11920 12152 14602 15190 16688 17360 18476 20860 23095 24304 29204 30380 32333 36505 36952 41720 46190 58408 60760 64666 73010 73904 83440 92380 116816 121520 129332 146020 161665 184760 226331 258664 292040 323330 369520 452662 517328 584080 646660 905324 1131655 1293320 1810648 2263310 2586640 3621296 4526620 9053240 18106480