Search a number
-
+
4036040 = 2352341107
BaseRepresentation
bin1111011001010111001000
321121001101222
433121113020
52013123130
6222301212
746206611
oct17312710
97531358
104036040
112307378
121427808
13ab40b8
14770c08
1554ace5
hex3d95c8

4036040 has 64 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 1492480.

The previous prime is 4036033. The next prime is 4036049. The reversal of 4036040 is 406304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4036049) 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, 37667 + ... + 37773.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 24036040 is an apocalyptic number.

4036040 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 4036040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

4036040 is an abundant number, since it is smaller than the sum of its proper divisors (5761720).

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

4036040 is a wasteful number, since it uses less digits than its factorization.

4036040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4036040 is about 2008.9897958925. The cubic root of 4036040 is about 159.2154299330.

The spelling of 4036040 in words is "four million, thirty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 107 115 164 184 205 214 230 328 410 428 460 535 820 856 920 943 1070 1640 1886 2140 2461 3772 4280 4387 4715 4922 7544 8774 9430 9844 12305 17548 18860 19688 21935 24610 35096 37720 43870 49220 87740 98440 100901 175480 201802 403604 504505 807208 1009010 2018020 4036040