Search a number
-
+
641372130 = 232578231237
BaseRepresentation
bin100110001110101…
…000111111100010
31122200212002011100
4212032220333202
52303142402010
6143350455230
721615400410
oct4616507742
91580762140
10641372130
112aa046413
1215a964516
13a2b52b49
14612762b0
153b4912c0
hex263a8fe2

641372130 has 96 divisors (see below), whose sum is σ = 1909649664. Its totient is φ = 146302848.

The previous prime is 641372129. The next prime is 641372153. The reversal of 641372130 is 31273146.

641372130 is a `hidden beast` number, since 641 + 3 + 7 + 2 + 13 + 0 = 666.

It is a super-2 number, since 2×6413721302 = 822716418281473800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 641372094 and 641372103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517872 + ... + 519108.

It is an arithmetic number, because the mean of its divisors is an integer number (19892184).

Almost surely, 2641372130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641372130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954824832).

641372130 is an abundant number, since it is smaller than the sum of its proper divisors (1268277534).

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

641372130 is a wasteful number, since it uses less digits than its factorization.

641372130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 641372130 is about 25325.3258616745. The cubic root of 641372130 is about 862.3893040040.

The spelling of 641372130 in words is "six hundred forty-one million, three hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 823 1237 1646 2469 2474 3711 4115 4938 5761 6185 7407 7422 8230 8659 11133 11522 12345 12370 14814 17283 17318 18555 22266 24690 25977 28805 34566 37035 37110 43295 51849 51954 55665 57610 74070 77931 86415 86590 103698 111330 129885 155862 172830 259245 259770 389655 518490 779310 1018051 2036102 3054153 5090255 6108306 7126357 9162459 10180510 14252714 15270765 18324918 21379071 30541530 35631785 42758142 45812295 64137213 71263570 91624590 106895355 128274426 213790710 320686065 641372130