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18359040 = 28357683
BaseRepresentation
bin100011000001…
…0001100000000
31021112201212110
41012002030000
514144442130
61453255320
7312022620
oct106021400
937481773
1018359040
11a3aa467
126194540
133a5a54b
14261c880
151929ab0
hex1182300

18359040 has 144 divisors (see below), whose sum is σ = 67108608. Its totient is φ = 4190208.

The previous prime is 18359039. The next prime is 18359053. The reversal of 18359040 is 4095381.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18358989 and 18359007.

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, 26539 + ... + 27221.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 218359040 is an apocalyptic number.

18359040 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 18359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554304).

18359040 is an abundant number, since it is smaller than the sum of its proper divisors (48749568).

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

18359040 is an equidigital number, since it uses as much as digits as its factorization.

18359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 18359040 is about 4284.7450332546. The cubic root of 18359040 is about 263.8051822575.

The spelling of 18359040 in words is "eighteen million, three hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 683 768 840 896 960 1120 1280 1344 1366 1680 1792 1920 2049 2240 2688 2732 3360 3415 3840 4098 4480 4781 5376 5464 6720 6830 8196 8960 9562 10245 10928 13440 13660 14343 16392 19124 20490 21856 23905 26880 27320 28686 32784 38248 40980 43712 47810 54640 57372 65568 71715 76496 81960 87424 95620 109280 114744 131136 143430 152992 163920 174848 191240 218560 229488 262272 286860 305984 327840 382480 437120 458976 524544 573720 611968 655680 764960 874240 917952 1147440 1223936 1311360 1529920 1835904 2294880 2622720 3059840 3671808 4589760 6119680 9179520 18359040