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1018020 = 223519247
BaseRepresentation
bin11111000100010100100
31220201110110
43320202210
5230034040
633453020
711436663
oct3704244
91821413
101018020
11635943
12411170
132984a3
141c6dda
15151980
hexf88a4

1018020 has 72 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 251712.

The previous prime is 1018019. The next prime is 1018021. The reversal of 1018020 is 208101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1018019) and next prime (1018021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1017987 and 1018005.

It is not an unprimeable number, because it can be changed into a prime (1018021) 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, 21637 + ... + 21683.

It is an arithmetic number, because the mean of its divisors is an integer number (42672).

21018020 is an apocalyptic number.

1018020 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 1018020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1018020 is an abundant number, since it is smaller than the sum of its proper divisors (2054364).

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

1018020 is a wasteful number, since it uses less digits than its factorization.

1018020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1018020 is about 1008.9697715987. The cubic root of 1018020 is about 100.5970943541.

The spelling of 1018020 in words is "one million, eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 361 380 470 564 570 705 722 893 940 1083 1140 1410 1444 1786 1805 2166 2679 2820 3572 3610 4332 4465 5358 5415 7220 8930 10716 10830 13395 16967 17860 21660 26790 33934 50901 53580 67868 84835 101802 169670 203604 254505 339340 509010 1018020