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7640325 = 34527311
BaseRepresentation
bin11101001001010100000101
3112101011120000
4131021110011
53423442300
6431431513
7121641000
oct35112405
915334500
107640325
114349320
122685599
131776804
14102c537
15a0dc00
hex749505

7640325 has 120 divisors (see below), whose sum is σ = 18004800. Its totient is φ = 3175200.

The previous prime is 7640287. The next prime is 7640329. The reversal of 7640325 is 5230467.

It is a happy number.

It is not a de Polignac number, because 7640325 - 28 = 7640069 is a prime.

It is a super-2 number, since 2×76403252 = 116749132211250, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640329) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 694570 + ... + 694580.

It is an arithmetic number, because the mean of its divisors is an integer number (150040).

Almost surely, 27640325 is an apocalyptic number.

7640325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7640325 is an abundant number, since it is smaller than the sum of its proper divisors (10364475).

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

7640325 is a wasteful number, since it uses less digits than its factorization.

7640325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7640325 is about 2764.1137820285. The cubic root of 7640325 is about 196.9566328135.

It can be divided in two parts, 76 and 40325, that added together give a square (40401 = 2012).

The spelling of 7640325 in words is "seven million, six hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 49 55 63 75 77 81 99 105 135 147 165 175 189 225 231 245 275 297 315 343 385 405 441 495 525 539 567 675 693 735 825 891 945 1029 1155 1225 1323 1485 1575 1617 1715 1925 2025 2079 2205 2475 2695 2835 3087 3465 3675 3773 3969 4455 4725 4851 5145 5775 6237 6615 7425 8085 8575 9261 10395 11025 11319 13475 14175 14553 15435 17325 18865 19845 22275 24255 25725 27783 31185 33075 33957 40425 43659 46305 51975 56595 72765 77175 94325 99225 101871 121275 138915 155925 169785 218295 231525 282975 305613 363825 509355 694575 848925 1091475 1528065 2546775 7640325