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664771440 = 243531199449
BaseRepresentation
bin100111100111111…
…001101101110000
31201022212212222110
4213213321231300
52330140141230
6145544205320
722321315104
oct4747715560
91638785873
10664771440
11311278693
12166769840
13a79565a8
1464407904
153d5644b0
hex279f9b70

664771440 has 160 divisors (see below), whose sum is σ = 2142720000. Its totient is φ = 170311680.

The previous prime is 664771439. The next prime is 664771447. The reversal of 664771440 is 44177466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664771447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480336 + ... + 1480784.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2664771440 is an apocalyptic number.

664771440 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 664771440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

664771440 is an abundant number, since it is smaller than the sum of its proper divisors (1477948560).

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

664771440 is a wasteful number, since it uses less digits than its factorization.

664771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 664771440 is about 25783.1619472864. The cubic root of 664771440 is about 872.7518625489.

It can be divided in two parts, 6647 and 71440, that added together give a palindrome (78087).

The spelling of 664771440 in words is "six hundred sixty-four million, seven hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 199 240 248 310 372 398 449 465 496 597 620 744 796 898 930 995 1194 1240 1347 1488 1592 1796 1860 1990 2245 2388 2480 2694 2985 3184 3592 3720 3980 4490 4776 5388 5970 6169 6735 7184 7440 7960 8980 9552 10776 11940 12338 13470 13919 15920 17960 18507 21552 23880 24676 26940 27838 30845 35920 37014 41757 47760 49352 53880 55676 61690 69595 74028 83514 89351 92535 98704 107760 111352 123380 139190 148056 167028 178702 185070 208785 222704 246760 268053 278380 296112 334056 357404 370140 417570 446755 493520 536106 556760 668112 714808 740280 835140 893510 1072212 1113520 1340265 1429616 1480560 1670280 1787020 2144424 2680530 2769881 3340560 3574040 4288848 5361060 5539762 7148080 8309643 10722120 11079524 13849405 16619286 21444240 22159048 27698810 33238572 41548215 44318096 55397620 66477144 83096430 110795240 132954288 166192860 221590480 332385720 664771440