Search a number
-
+
64031940 = 22325789571
BaseRepresentation
bin1111010001000…
…0110011000100
311110111011022100
43310100303010
5112343010230
610204232100
71405156020
oct364206304
9143434270
1064031940
1133165165
121953b630
131035c22b
14870b380
15594c660
hex3d10cc4

64031940 has 144 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 14446080.

The previous prime is 64031939. The next prime is 64031951. The reversal of 64031940 is 4913046.

64031940 is a `hidden beast` number, since 640 + 3 + 19 + 4 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 111855 + ... + 112425.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 264031940 is an apocalyptic number.

64031940 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 64031940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

64031940 is an abundant number, since it is smaller than the sum of its proper divisors (160832700).

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

64031940 is a wasteful number, since it uses less digits than its factorization.

64031940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64031940 is about 8001.9960009988. The cubic root of 64031940 is about 400.0665306003.

Adding to 64031940 its reverse (4913046), we get a palindrome (68944986).

The spelling of 64031940 in words is "sixty-four million, thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 571 623 630 801 890 1068 1142 1246 1260 1335 1602 1713 1780 1869 2284 2492 2670 2855 3115 3204 3426 3738 3997 4005 5139 5340 5607 5710 6230 6852 7476 7994 8010 8565 9345 10278 11214 11420 11991 12460 15988 16020 17130 18690 19985 20556 22428 23982 25695 28035 34260 35973 37380 39970 47964 50819 51390 56070 59955 71946 79940 101638 102780 112140 119910 143892 152457 179865 203276 239820 254095 304914 355733 359730 457371 508190 609828 711466 719460 762285 914742 1016380 1067199 1422932 1524570 1778665 1829484 2134398 2286855 3049140 3201597 3557330 4268796 4573710 5335995 6403194 7114660 9147420 10671990 12806388 16007985 21343980 32015970 64031940