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640700040 = 233553131769
BaseRepresentation
bin100110001100000…
…100111010001000
31122122120221020010
4212030010322020
52303004400130
6143324231520
721606601101
oct4614047210
91578527203
10640700040
112a9727472
1215a69b5a0
13a2978c66
146113d3a8
153b3ac0b0
hex26304e88

640700040 has 128 divisors (see below), whose sum is σ = 1975881600. Its totient is φ = 166133760.

The previous prime is 640700003. The next prime is 640700041. The reversal of 640700040 is 40007046.

It is not an unprimeable number, because it can be changed into a prime (640700041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832776 + ... + 833544.

It is an arithmetic number, because the mean of its divisors is an integer number (15436575).

Almost surely, 2640700040 is an apocalyptic number.

640700040 is a gapful number since it is divisible by the number (60) 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 640700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987940800).

640700040 is an abundant number, since it is smaller than the sum of its proper divisors (1335181560).

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

640700040 is a wasteful number, since it uses less digits than its factorization.

640700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 640700040 is about 25312.0532553169. The cubic root of 640700040 is about 862.0879678673.

Adding to 640700040 its reverse (40007046), we get a palindrome (680707086).

The spelling of 640700040 in words is "six hundred forty million, seven hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 131 159 212 262 265 318 393 424 524 530 636 655 769 786 795 1048 1060 1272 1310 1538 1572 1590 1965 2120 2307 2620 3076 3144 3180 3845 3930 4614 5240 6152 6360 6943 7690 7860 9228 11535 13886 15380 15720 18456 20829 23070 27772 30760 34715 40757 41658 46140 55544 69430 81514 83316 92280 100739 104145 122271 138860 163028 166632 201478 203785 208290 244542 277720 302217 326056 402956 407570 416580 489084 503695 604434 611355 805912 815140 833160 978168 1007390 1208868 1222710 1511085 1630280 2014780 2417736 2445420 3022170 4029560 4890840 5339167 6044340 10678334 12088680 16017501 21356668 26695835 32035002 42713336 53391670 64070004 80087505 106783340 128140008 160175010 213566680 320350020 640700040