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7940988 = 22321121823
BaseRepresentation
bin11110010010101101111100
3112221102222200
4132102231330
54013102423
6442111500
7124332366
oct36225574
915842880
107940988
114534200
1227ab590
131850613
1410a9d36
15a6cd43
hex792b7c

7940988 has 54 divisors (see below), whose sum is σ = 22075872. Its totient is φ = 2405040.

The previous prime is 7940981. The next prime is 7941007. The reversal of 7940988 is 8890497.

7940988 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×79409882 = 126118580832288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940981) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3445 + ... + 5267.

Almost surely, 27940988 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 7940988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037936).

7940988 is an abundant number, since it is smaller than the sum of its proper divisors (14134884).

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

7940988 is a wasteful number, since it uses less digits than its factorization.

7940988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7940988 is about 2817.9758693076. The cubic root of 7940988 is about 199.5070191813.

It can be divided in two parts, 79409 and 88, that added together give a palindrome (79497).

The spelling of 7940988 in words is "seven million, nine hundred forty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1823 2178 3646 4356 5469 7292 10938 16407 20053 21876 32814 40106 60159 65628 80212 120318 180477 220583 240636 360954 441166 661749 721908 882332 1323498 1985247 2646996 3970494 7940988