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641053400 = 235213793121
BaseRepresentation
bin100110001101011…
…011001011011000
31122200020212221112
4212031123023120
52303102202100
6143335555452
721612602231
oct4615331330
91580225845
10641053400
112a99489a9
1215a82bb88
13a2a70a50
14611d2088
153b42bb35
hex2635b2d8

641053400 has 96 divisors (see below), whose sum is σ = 1625937600. Its totient is φ = 233625600.

The previous prime is 641053397. The next prime is 641053471. The reversal of 641053400 is 4350146.

It is a happy number.

641053400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 203840 + ... + 206960.

It is an arithmetic number, because the mean of its divisors is an integer number (16936850).

Almost surely, 2641053400 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 641053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812968800).

641053400 is an abundant number, since it is smaller than the sum of its proper divisors (984884200).

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

641053400 is a wasteful number, since it uses less digits than its factorization.

641053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 641053400 is about 25319.0323669764. The cubic root of 641053400 is about 862.2464254916.

The spelling of 641053400 in words is "six hundred forty-one million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 79 100 104 130 158 200 260 316 325 395 520 632 650 790 1027 1300 1580 1975 2054 2600 3121 3160 3950 4108 5135 6242 7900 8216 10270 12484 15605 15800 20540 24968 25675 31210 40573 41080 51350 62420 78025 81146 102700 124840 156050 162292 202865 205400 246559 312100 324584 405730 493118 624200 811460 986236 1014325 1232795 1622920 1972472 2028650 2465590 3205267 4057300 4931180 6163975 6410534 8114600 9862360 12327950 12821068 16026335 24655900 25642136 32052670 49311800 64105340 80131675 128210680 160263350 320526700 641053400