Search a number
-
+
39720640 = 2651947139
BaseRepresentation
bin1001011110000…
…1011011000000
32202202000110211
42113201123000
540132030030
63535203504
7661422421
oct227413300
982660424
1039720640
112046a783
1211376594
1382c964b
1453bd648
15374912a
hex25e16c0

39720640 has 112 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 14625792.

The previous prime is 39720623. The next prime is 39720643. The reversal of 39720640 is 4602793.

It is not an unprimeable number, because it can be changed into a prime (39720643) 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 15 ways as a sum of consecutive naturals, for example, 285691 + ... + 285829.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 239720640 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 39720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

39720640 is an abundant number, since it is smaller than the sum of its proper divisors (62692160).

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

39720640 is a wasteful number, since it uses less digits than its factorization.

39720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 39720640 is about 6302.4312768962. The cubic root of 39720640 is about 341.1971638378.

The spelling of 39720640 in words is "thirty-nine million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 64 76 80 94 95 139 152 160 188 190 235 278 304 320 376 380 470 556 608 695 752 760 893 940 1112 1216 1390 1504 1520 1786 1880 2224 2641 2780 3008 3040 3572 3760 4448 4465 5282 5560 6080 6533 7144 7520 8896 8930 10564 11120 13066 13205 14288 15040 17860 21128 22240 26132 26410 28576 32665 35720 42256 44480 52264 52820 57152 65330 71440 84512 104528 105640 124127 130660 142880 169024 209056 211280 248254 261320 285760 418112 422560 496508 522640 620635 845120 993016 1045280 1241270 1986032 2090560 2482540 3972064 4965080 7944128 9930160 19860320 39720640