Search a number
-
+
640927840 = 25572292819
BaseRepresentation
bin100110001100111…
…100100001100000
31122200000111201011
4212030330201200
52303034142330
6143333150304
721611540200
oct4614744140
91580014634
10640927840
112a9872633
1215a78b394
13a2a28857
146119c400
153b40482a
hex2633c860

640927840 has 144 divisors (see below), whose sum is σ = 1822791600. Its totient is φ = 212093952.

The previous prime is 640927799. The next prime is 640927841. The reversal of 640927840 is 48729046.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 640927793 and 640927802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640927841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225951 + ... + 228769.

It is an arithmetic number, because the mean of its divisors is an integer number (12658275).

Almost surely, 2640927840 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 640927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911395800).

640927840 is an abundant number, since it is smaller than the sum of its proper divisors (1181863760).

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

640927840 is a wasteful number, since it uses less digits than its factorization.

640927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 640927840 is about 25316.5526879155. The cubic root of 640927840 is about 862.1901271497.

The spelling of 640927840 in words is "six hundred forty million, nine hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 80 98 112 116 140 145 160 196 203 224 232 245 280 290 392 406 464 490 560 580 784 812 928 980 1015 1120 1160 1421 1568 1624 1960 2030 2320 2819 2842 3248 3920 4060 4640 5638 5684 6496 7105 7840 8120 11276 11368 14095 14210 16240 19733 22552 22736 28190 28420 32480 39466 45104 45472 56380 56840 78932 81751 90208 98665 112760 113680 138131 157864 163502 197330 225520 227360 276262 315728 327004 394660 408755 451040 552524 572257 631456 654008 690655 789320 817510 1105048 1144514 1308016 1381310 1578640 1635020 2210096 2289028 2616032 2762620 2861285 3157280 3270040 4005799 4420192 4578056 5525240 5722570 6540080 8011598 9156112 11050480 11445140 13080160 16023196 18312224 20028995 22100960 22890280 32046392 40057990 45780560 64092784 80115980 91561120 128185568 160231960 320463920 640927840