Search a number
-
+
32725140 = 22357211131
BaseRepresentation
bin111110011010…
…1100010010100
32021120121110020
41330311202110
531334201030
63125225140
7545105400
oct174654224
967517406
1032725140
1117521978
12ab621b0
136a1a4b6
1444bc100
152d16510
hex1f35894

32725140 has 72 divisors (see below), whose sum is σ = 106600032. Its totient is φ = 7479360.

The previous prime is 32725127. The next prime is 32725141. The reversal of 32725140 is 4152723.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 32725140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32725141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2626 + ... + 8505.

It is an arithmetic number, because the mean of its divisors is an integer number (1480556).

Almost surely, 232725140 is an apocalyptic number.

32725140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32725140 is an abundant number, since it is smaller than the sum of its proper divisors (73874892).

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

32725140 is a wasteful number, since it uses less digits than its factorization.

32725140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 32725140 is about 5720.5891305005. The cubic root of 32725140 is about 319.8604208974.

Adding to 32725140 its reverse (4152723), we get a palindrome (36877863).

The spelling of 32725140 in words is "thirty-two million, seven hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 11131 22262 33393 44524 55655 66786 77917 111310 133572 155834 166965 222620 233751 311668 333930 389585 467502 545419 667860 779170 935004 1090838 1168755 1558340 1636257 2181676 2337510 2727095 3272514 4675020 5454190 6545028 8181285 10908380 16362570 32725140