Search a number
-
+
7238940 = 22351747151
BaseRepresentation
bin11011100111010100011100
3111121202221220
4123213110130
53323121230
6415053340
7115346532
oct33472434
914552856
107238940
1140a47a5
122511250
131665bc7
14d66152
1597ed10
hex6e751c

7238940 has 96 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 1766400.

The previous prime is 7238927. The next prime is 7238941. The reversal of 7238940 is 498327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7238941) 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 31 ways as a sum of consecutive naturals, for example, 47865 + ... + 48015.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 27238940 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 7238940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

7238940 is an abundant number, since it is smaller than the sum of its proper divisors (14824164).

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

7238940 is a wasteful number, since it uses less digits than its factorization.

7238940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7238940 is about 2690.5278292558. The cubic root of 7238940 is about 193.4453637918.

The spelling of 7238940 in words is "seven million, two hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 151 170 188 204 235 255 282 302 340 453 470 510 564 604 705 755 799 906 940 1020 1410 1510 1598 1812 2265 2397 2567 2820 3020 3196 3995 4530 4794 5134 7097 7701 7990 9060 9588 10268 11985 12835 14194 15402 15980 21291 23970 25670 28388 30804 35485 38505 42582 47940 51340 70970 77010 85164 106455 120649 141940 154020 212910 241298 361947 425820 482596 603245 723894 1206490 1447788 1809735 2412980 3619470 7238940