Search a number
-
+
3625140 = 2235311949
BaseRepresentation
bin1101110101000010110100
320211011202110
431311002310
51412001030
6205411020
742545631
oct15650264
96734673
103625140
112056692
121269a70
1399c06c
146a5188
154b91b0
hex3750b4

3625140 has 48 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 935040.

The previous prime is 3625133. The next prime is 3625151. The reversal of 3625140 is 415263.

It is a happy number.

3625140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 886 + ... + 2834.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 23625140 is an apocalyptic number.

3625140 is a gapful number since it is divisible by the number (30) 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 3625140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3625140 is an abundant number, since it is smaller than the sum of its proper divisors (6858060).

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

3625140 is a wasteful number, since it uses less digits than its factorization.

3625140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3625140 is about 1903.9800419122. The cubic root of 3625140 is about 153.6178188421.

The spelling of 3625140 in words is "three million, six hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1949 3898 5847 7796 9745 11694 19490 23388 29235 38980 58470 60419 116940 120838 181257 241676 302095 362514 604190 725028 906285 1208380 1812570 3625140