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201204320 = 25529103421
BaseRepresentation
bin10111111111000…
…10001001100000
3112000121020102212
423333202021200
5403002014240
631544301252
74662131342
oct1377421140
9460536385
10201204320
11a3635869
1257471828
13328b9515
141ca17292
15129e6165
hexbfe2260

201204320 has 96 divisors (see below), whose sum is σ = 497689920. Its totient is φ = 76769280.

The previous prime is 201204277. The next prime is 201204331. The reversal of 201204320 is 23402102.

201204320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201204295 and 201204304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477710 + ... + 478130.

It is an arithmetic number, because the mean of its divisors is an integer number (5184270).

Almost surely, 2201204320 is an apocalyptic number.

201204320 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 201204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248844960).

201204320 is an abundant number, since it is smaller than the sum of its proper divisors (296485600).

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

201204320 is a wasteful number, since it uses less digits than its factorization.

201204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201204320 is about 14184.6508592915. The cubic root of 201204320 is about 585.9750170869.

Adding to 201204320 its reverse (23402102), we get a palindrome (224606422).

The spelling of 201204320 in words is "two hundred one million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 103 116 145 160 206 232 290 412 421 464 515 580 824 842 928 1030 1160 1648 1684 2060 2105 2320 2987 3296 3368 4120 4210 4640 5974 6736 8240 8420 11948 12209 13472 14935 16480 16840 23896 24418 29870 33680 43363 47792 48836 59740 61045 67360 86726 95584 97672 119480 122090 173452 195344 216815 238960 244180 346904 390688 433630 477920 488360 693808 867260 976720 1257527 1387616 1734520 1953440 2515054 3469040 5030108 6287635 6938080 10060216 12575270 20120432 25150540 40240864 50301080 100602160 201204320