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201134820 = 223517316361
BaseRepresentation
bin10111111110100…
…01001011100100
3112000110201002210
423333101023210
5402442303240
631543003420
74661421615
oct1377211344
9460421083
10201134820
11a3598627
1257439570
13328939b3
141c9d9c0c
15129d0780
hexbfd12e4

201134820 has 96 divisors (see below), whose sum is σ = 615638016. Its totient is φ = 48844800.

The previous prime is 201134819. The next prime is 201134827. The reversal of 201134820 is 28431102.

It is not an unprimeable number, because it can be changed into a prime (201134827) 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, 28440 + ... + 34800.

It is an arithmetic number, because the mean of its divisors is an integer number (6412896).

Almost surely, 2201134820 is an apocalyptic number.

201134820 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 201134820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307819008).

201134820 is an abundant number, since it is smaller than the sum of its proper divisors (414503196).

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

201134820 is a wasteful number, since it uses less digits than its factorization.

201134820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201134820 is about 14182.2008165165. The cubic root of 201134820 is about 585.9075401499.

Adding to 201134820 its reverse (28431102), we get a palindrome (229565922).

The spelling of 201134820 in words is "two hundred one million, one hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 5270 6324 6361 7905 10540 12722 15810 19083 25444 31620 31805 38166 63610 76332 95415 108137 127220 190830 197191 216274 324411 381660 394382 432548 540685 591573 648822 788764 985955 1081370 1183146 1297644 1622055 1971910 2162740 2366292 2957865 3244110 3352247 3943820 5915730 6488220 6704494 10056741 11831460 13408988 16761235 20113482 33522470 40226964 50283705 67044940 100567410 201134820