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18075840 = 263519991
BaseRepresentation
bin100010011110…
…1000011000000
31021000100101120
41010331003000
514111411330
61443232240
7306433146
oct104750300
937010346
1018075840
11a226712
126078680
13398b683
142587596
1518c0c10
hex113d0c0

18075840 has 112 divisors (see below), whose sum is σ = 60472320. Its totient is φ = 4561920.

The previous prime is 18075829. The next prime is 18075857. The reversal of 18075840 is 4857081.

It is a happy 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, 17745 + ... + 18735.

Almost surely, 218075840 is an apocalyptic number.

18075840 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 18075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30236160).

18075840 is an abundant number, since it is smaller than the sum of its proper divisors (42396480).

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

18075840 is a wasteful number, since it uses less digits than its factorization.

18075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 18075840 is about 4251.5691221007. The cubic root of 18075840 is about 262.4416922648.

It can be divided in two parts, 18075 and 840, that added together give a triangular number (18915 = T194).

The spelling of 18075840 in words is "eighteen million, seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 991 1140 1216 1520 1824 1982 2280 2973 3040 3648 3964 4560 4955 5946 6080 7928 9120 9910 11892 14865 15856 18240 18829 19820 23784 29730 31712 37658 39640 47568 56487 59460 63424 75316 79280 94145 95136 112974 118920 150632 158560 188290 190272 225948 237840 282435 301264 317120 376580 451896 475680 564870 602528 753160 903792 951360 1129740 1205056 1506320 1807584 2259480 3012640 3615168 4518960 6025280 9037920 18075840