Search a number
-
+
7328070 = 234583109
BaseRepresentation
bin11011111101000101000110
3111210022020000
4123331011012
53333444240
6421022130
7116200431
oct33750506
914708200
107328070
114155762
122554946
131697649
14d8a818
1599b430
hex6fd146

7328070 has 80 divisors (see below), whose sum is σ = 20124720. Its totient is φ = 1912896.

The previous prime is 7328051. The next prime is 7328077. The reversal of 7328070 is 708237.

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 (7328077) 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 39 ways as a sum of consecutive naturals, for example, 67176 + ... + 67284.

It is an arithmetic number, because the mean of its divisors is an integer number (251559).

Almost surely, 27328070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7328070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062360).

7328070 is an abundant number, since it is smaller than the sum of its proper divisors (12796650).

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

7328070 is a wasteful number, since it uses less digits than its factorization.

7328070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7328070 is about 2707.0408197883. The cubic root of 7328070 is about 194.2360643541.

The spelling of 7328070 in words is "seven million, three hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 109 135 162 166 218 249 270 327 405 415 498 545 654 747 810 830 981 1090 1245 1494 1635 1962 2241 2490 2943 3270 3735 4482 4905 5886 6723 7470 8829 9047 9810 11205 13446 14715 17658 18094 22410 27141 29430 33615 44145 45235 54282 67230 81423 88290 90470 135705 162846 244269 271410 407115 488538 732807 814230 1221345 1465614 2442690 3664035 7328070