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1000204140 = 2235136719139
BaseRepresentation
bin111011100111011…
…110011101101100
32120201001122010210
4323213132131230
54022023013030
6243125502420
733533411025
oct7347363554
92521048123
101000204140
114736531a1
1223ab71a10
1312c2ac090
1496ba1c4c
155cc21bb0
hex3b9de76c

1000204140 has 96 divisors (see below), whose sum is σ = 3061175040. Its totient is φ = 242516736.

The previous prime is 1000204103. The next prime is 1000204187. The reversal of 1000204140 is 414020001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42691 + ... + 61829.

It is an arithmetic number, because the mean of its divisors is an integer number (31887240).

Almost surely, 21000204140 is an apocalyptic number.

1000204140 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 1000204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530587520).

1000204140 is an abundant number, since it is smaller than the sum of its proper divisors (2060970900).

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

1000204140 is a wasteful number, since it uses less digits than its factorization.

1000204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19231 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1000204140 is about 31626.0041737808. The cubic root of 1000204140 is about 1000.0680420368.

Adding to 1000204140 its reverse (414020001), we get a palindrome (1414224141).

The spelling of 1000204140 in words is "one billion, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4355 5226 8710 10452 13065 17420 19139 26130 38278 52260 57417 76556 95695 114834 191390 229668 248807 287085 382780 497614 574170 746421 995228 1148340 1244035 1282313 1492842 2488070 2564626 2985684 3732105 3846939 4976140 5129252 6411565 7464210 7693878 12823130 14928420 15387756 16670069 19234695 25646260 33340138 38469390 50010207 66680276 76938780 83350345 100020414 166700690 200040828 250051035 333401380 500102070 1000204140