Search a number
-
+
39681040 = 2457591201
BaseRepresentation
bin1001011101011…
…1110000010000
32202200000011011
42113113300100
540124243130
63534300304
7661166110
oct227276020
982600134
1039681040
1120442a53
1211357694
1382b4609
1453ad040
15373c52a
hex25d7c10

39681040 has 80 divisors (see below), whose sum is σ = 107314560. Its totient is φ = 13363200.

The previous prime is 39681017. The next prime is 39681041. The reversal of 39681040 is 4018693.

39681040 = 5622 + 5632 + ... + 6662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 39680993 and 39681011.

It is not an unprimeable number, because it can be changed into a prime (39681041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32440 + ... + 33640.

It is an arithmetic number, because the mean of its divisors is an integer number (1341432).

It is a vampire number, since it can be written as 41309608 (with its own digits).

Almost surely, 239681040 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 39681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657280).

39681040 is an abundant number, since it is smaller than the sum of its proper divisors (67633520).

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

39681040 is a wasteful number, since it uses less digits than its factorization.

39681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 39681040 is about 6299.2888487511. The cubic root of 39681040 is about 341.0837391775.

The spelling of 39681040 in words is "thirty-nine million, six hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1201 1652 2065 2360 2402 3304 4130 4720 4804 6005 6608 8260 8407 9608 12010 16520 16814 19216 24020 33040 33628 42035 48040 67256 70859 84070 96080 134512 141718 168140 283436 336280 354295 496013 566872 672560 708590 992026 1133744 1417180 1984052 2480065 2834360 3968104 4960130 5668720 7936208 9920260 19840520 39681040