Search a number
-
+
4010040 = 233354779
BaseRepresentation
bin1111010011000000111000
321112201202000
433103000320
52011310130
6221541000
746041036
oct17230070
97481660
104010040
112299891
121414760
13aa5308
14765556
15543260
hex3d3038

4010040 has 128 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1033344.

The previous prime is 4010029. The next prime is 4010047. The reversal of 4010040 is 400104.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50721 + ... + 50799.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 24010040 is an apocalyptic number.

4010040 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 4010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

4010040 is an abundant number, since it is smaller than the sum of its proper divisors (9813960).

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

4010040 is a wasteful number, since it uses less digits than its factorization.

4010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4010040 is about 2002.5084269486. The cubic root of 4010040 is about 158.8728067864.

Adding to 4010040 its reverse (400104), we get a palindrome (4410144).

The spelling of 4010040 in words is "four million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 79 90 94 108 120 135 141 158 180 188 216 235 237 270 282 316 360 376 395 423 470 474 540 564 632 705 711 790 846 940 948 1080 1128 1185 1269 1410 1422 1580 1692 1880 1896 2115 2133 2370 2538 2820 2844 3160 3384 3555 3713 4230 4266 4740 5076 5640 5688 6345 7110 7426 8460 8532 9480 10152 10665 11139 12690 14220 14852 16920 17064 18565 21330 22278 25380 28440 29704 33417 37130 42660 44556 50760 55695 66834 74260 85320 89112 100251 111390 133668 148520 167085 200502 222780 267336 334170 401004 445560 501255 668340 802008 1002510 1336680 2005020 4010040