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4140040 = 235294383
BaseRepresentation
bin1111110010110000001000
321210100001211
433302300020
52024440130
6224422504
750122042
oct17626010
97710054
104140040
112378523
121477a34
13b1c538
1479aa92
1556ba2a
hex3f2c08

4140040 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1542912.

The previous prime is 4140029. The next prime is 4140047. The reversal of 4140040 is 400414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49839 + ... + 49921.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 24140040 is an apocalyptic number.

4140040 is a gapful number since it is divisible by the number (40) 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 4140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

4140040 is an abundant number, since it is smaller than the sum of its proper divisors (5839160).

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

4140040 is a wasteful number, since it uses less digits than its factorization.

4140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4140040 is about 2034.7088243776. The cubic root of 4140040 is about 160.5713944979.

Adding to 4140040 its reverse (400414), we get a palindrome (4540454).

The spelling of 4140040 in words is "four million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 83 86 116 145 166 172 215 232 290 332 344 415 430 580 664 830 860 1160 1247 1660 1720 2407 2494 3320 3569 4814 4988 6235 7138 9628 9976 12035 12470 14276 17845 19256 24070 24940 28552 35690 48140 49880 71380 96280 103501 142760 207002 414004 517505 828008 1035010 2070020 4140040