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18047640 = 23351323503
BaseRepresentation
bin100010011011…
…0001010011000
31020221220201010
41010312022120
514110011030
61442453520
7306255012
oct104661230
936856633
1018047640
11a207506
1260642a0
13397b8a0
14257b1b2
1518b76b0
hex1136298

18047640 has 128 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 4240896.

The previous prime is 18047593. The next prime is 18047647. The reversal of 18047640 is 4674081.

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 = 18047598 and 18047607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18047647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35629 + ... + 36131.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 218047640 is an apocalyptic number.

18047640 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 18047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

18047640 is an abundant number, since it is smaller than the sum of its proper divisors (42916200).

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

18047640 is a wasteful number, since it uses less digits than its factorization.

18047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 18047640 is about 4248.2514049901. The cubic root of 18047640 is about 262.3051433734.

The spelling of 18047640 in words is "eighteen million, forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 503 520 552 598 690 780 897 920 1006 1196 1380 1495 1509 1560 1794 2012 2392 2515 2760 2990 3018 3588 4024 4485 5030 5980 6036 6539 7176 7545 8970 10060 11569 11960 12072 13078 15090 17940 19617 20120 23138 26156 30180 32695 34707 35880 39234 46276 52312 57845 60360 65390 69414 78468 92552 98085 115690 130780 138828 150397 156936 173535 196170 231380 261560 277656 300794 347070 392340 451191 462760 601588 694140 751985 784680 902382 1203176 1388280 1503970 1804764 2255955 3007940 3609528 4511910 6015880 9023820 18047640