Search a number
-
+
7025940 = 223454337
BaseRepresentation
bin11010110011010100010100
3111012221210000
4122303110110
53244312230
6410331300
7113501535
oct32632424
914187700
107025940
113a69769
122429b30
1315bcc7c
14d0c68c
1593bb60
hex6b3514

7025940 has 60 divisors (see below), whose sum is σ = 22045716. Its totient is φ = 1873152.

The previous prime is 7025903. The next prime is 7025957. The reversal of 7025940 is 495207.

7025940 is a `hidden beast` number, since 70 + 2 + 594 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 6081156 = 972^2 + 2466^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 549 + ... + 3788.

Almost surely, 27025940 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 7025940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022858).

7025940 is an abundant number, since it is smaller than the sum of its proper divisors (15019776).

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

7025940 is a wasteful number, since it uses less digits than its factorization.

7025940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7025940 is about 2650.6489771375. The cubic root of 7025940 is about 191.5291195462.

The spelling of 7025940 in words is "seven million, twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4337 8674 13011 17348 21685 26022 39033 43370 52044 65055 78066 86740 117099 130110 156132 195165 234198 260220 351297 390330 468396 585495 702594 780660 1170990 1405188 1756485 2341980 3512970 7025940