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641087440 = 24573136929
BaseRepresentation
bin100110001101100…
…011011111010000
31122200022121122021
4212031203133100
52303104244230
6143340421224
721613103410
oct4615433720
91580277567
10641087440
112a9971534
1215a847814
13a2a833a6
1461200640
153b436c7a
hex263637d0

641087440 has 80 divisors (see below), whose sum is σ = 1758458880. Its totient is φ = 212705280.

The previous prime is 641087431. The next prime is 641087443. The reversal of 641087440 is 44780146.

641087440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 641087396 and 641087405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641087443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105 + ... + 35824.

It is an arithmetic number, because the mean of its divisors is an integer number (21980736).

Almost surely, 2641087440 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 641087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879229440).

641087440 is an abundant number, since it is smaller than the sum of its proper divisors (1117371440).

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

641087440 is a wasteful number, since it uses less digits than its factorization.

641087440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36980 (or 36974 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 641087440 is about 25319.7045796352. The cubic root of 641087440 is about 862.2616870121.

The spelling of 641087440 in words is "six hundred forty-one million, eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 36929 73858 147716 184645 258503 295432 369290 517006 590864 738580 1034012 1144799 1292515 1477160 2068024 2289598 2585030 2954320 4136048 4579196 5170060 5723995 8013593 9158392 10340120 11447990 16027186 18316784 20680240 22895980 32054372 40067965 45791960 64108744 80135930 91583920 128217488 160271860 320543720 641087440