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1020000204 = 2232174735461
BaseRepresentation
bin111100110010111…
…111011111001100
32122002022101020100
4330302333133030
54042110001304
6245114051100
734163600346
oct7462773714
92562271210
101020000204
11483844283
12245719a90
13133420722
1499676296
155e832439
hex3ccbf7cc

1020000204 has 72 divisors (see below), whose sum is σ = 2788164288. Its totient is φ = 313182720.

The previous prime is 1020000181. The next prime is 1020000217. The reversal of 1020000204 is 4020000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11034 + ... + 46494.

It is an arithmetic number, because the mean of its divisors is an integer number (38724504).

Almost surely, 21020000204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394082144).

1020000204 is an abundant number, since it is smaller than the sum of its proper divisors (1768164084).

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

1020000204 is a wasteful number, since it uses less digits than its factorization.

1020000204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35535 (or 35530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1020000204 is about 31937.4420390863. The cubic root of 1020000204 is about 1006.6227766683.

Adding to 1020000204 its reverse (4020000201), we get a palindrome (5040000405).

The spelling of 1020000204 in words is "one billion, twenty million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1598 1692 2397 3196 4794 7191 9588 14382 28764 35461 70922 106383 141844 212766 319149 425532 602837 638298 1205674 1276596 1666667 1808511 2411348 3333334 3617022 5000001 5425533 6666668 7234044 10000002 10851066 15000003 20000004 21702132 28333339 30000006 56666678 60000012 85000017 113333356 170000034 255000051 340000068 510000102 1020000204