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18215040 = 273553179
BaseRepresentation
bin100010101111…
…1000010000000
31021021102100010
41011133002000
514130340130
61450224520
7310553034
oct105370200
937242303
1018215040
11a311258
126125140
133a09b3c
1425c21c4
1518ec0b0
hex115f080

18215040 has 128 divisors (see below), whose sum is σ = 59486400. Its totient is φ = 4739072.

The previous prime is 18215023. The next prime is 18215051. The reversal of 18215040 is 4051281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18214998 and 18215016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101671 + ... + 101849.

Almost surely, 218215040 is an apocalyptic number.

18215040 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 18215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29743200).

18215040 is an abundant number, since it is smaller than the sum of its proper divisors (41271360).

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

18215040 is a wasteful number, since it uses less digits than its factorization.

18215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 18215040 is about 4267.9081527137. The cubic root of 18215040 is about 263.1136482522.

The spelling of 18215040 in words is "eighteen million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 179 192 212 240 265 318 320 358 384 424 480 530 537 636 640 716 795 848 895 960 1060 1074 1272 1432 1590 1696 1790 1920 2120 2148 2544 2685 2864 3180 3392 3580 4240 4296 5088 5370 5728 6360 6784 7160 8480 8592 9487 10176 10740 11456 12720 14320 16960 17184 18974 20352 21480 22912 25440 28461 28640 33920 34368 37948 42960 47435 50880 56922 57280 68736 75896 85920 94870 101760 113844 114560 142305 151792 171840 189740 227688 284610 303584 343680 379480 455376 569220 607168 758960 910752 1138440 1214336 1517920 1821504 2276880 3035840 3643008 4553760 6071680 9107520 18215040