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200104020 = 22345149829
BaseRepresentation
bin10111110110101…
…01100001010100
3111221112100010000
423323111201110
5402211312040
631504531300
74646566434
oct1373254124
9457470100
10200104020
11a2a54126
1257020b30
13325c275c
141c80c2c4
151287a130
hexbed5854

200104020 has 120 divisors (see below), whose sum is σ = 632709000. Its totient is φ = 52939008.

The previous prime is 200104019. The next prime is 200104027. The reversal of 200104020 is 20401002.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 196112016 = 1998^2 + 14004^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200103993 and 200104011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200104027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240966 + ... + 241794.

It is an arithmetic number, because the mean of its divisors is an integer number (5272575).

Almost surely, 2200104020 is an apocalyptic number.

200104020 is a gapful number since it is divisible by the number (20) 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 200104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316354500).

200104020 is an abundant number, since it is smaller than the sum of its proper divisors (432604980).

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

200104020 is a wasteful number, since it uses less digits than its factorization.

200104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

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

The square root of 200104020 is about 14145.8128080362. The cubic root of 200104020 is about 584.9049155125.

Adding to 200104020 its reverse (20401002), we get a palindrome (220505022).

The spelling of 200104020 in words is "two hundred million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 149 162 180 270 298 324 405 447 540 596 745 810 829 894 1341 1490 1620 1658 1788 2235 2487 2682 2980 3316 4023 4145 4470 4974 5364 6705 7461 8046 8290 8940 9948 12069 12435 13410 14922 16092 16580 20115 22383 24138 24870 26820 29844 37305 40230 44766 48276 49740 60345 67149 74610 80460 89532 111915 120690 123521 134298 149220 223830 241380 247042 268596 335745 370563 447660 494084 617605 671490 741126 1111689 1235210 1342980 1482252 1852815 2223378 2470420 3335067 3705630 4446756 5558445 6670134 7411260 10005201 11116890 13340268 16675335 20010402 22233780 33350670 40020804 50026005 66701340 100052010 200104020