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7940380 = 2257431319
BaseRepresentation
bin11110010010100100011100
3112221102011011
4132102210130
54013043010
6442105004
7124330540
oct36224434
915842134
107940380
1145337a8
1227ab164
131850266
1410a9a20
15a6ca8a
hex79291c

7940380 has 48 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 2657088.

The previous prime is 7940357. The next prime is 7940381. The reversal of 7940380 is 830497.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5361 + ... + 6679.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 27940380 is an apocalyptic number.

7940380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7940380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

7940380 is an abundant number, since it is smaller than the sum of its proper divisors (11574500).

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

7940380 is a wasteful number, since it uses less digits than its factorization.

7940380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 7940380 is about 2817.8679883912. The cubic root of 7940380 is about 199.5019273143.

The spelling of 7940380 in words is "seven million, nine hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1319 1505 2638 3010 5276 6020 6595 9233 13190 18466 26380 36932 46165 56717 92330 113434 184660 226868 283585 397019 567170 794038 1134340 1588076 1985095 3970190 7940380