Search a number
-
+
10474240 = 28572167
BaseRepresentation
bin100111111101…
…001100000000
3201201010221211
4213331030000
510140133430
61012255504
7155013100
oct47751400
921633854
1010474240
115a044a7
123611594
13222969a
141569200
15dbd72a
hex9fd300

10474240 has 108 divisors (see below), whose sum is σ = 29360016. Its totient is φ = 3569664.

The previous prime is 10474237. The next prime is 10474267. The reversal of 10474240 is 4247401.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62637 + ... + 62803.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 210474240 is an apocalyptic number.

10474240 is a gapful number since it is divisible by the number (10) 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 10474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680008).

10474240 is an abundant number, since it is smaller than the sum of its proper divisors (18885776).

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

10474240 is an equidigital number, since it uses as much as digits as its factorization.

10474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 10474240 is about 3236.3930540032. The cubic root of 10474240 is about 218.7967366805.

The spelling of 10474240 in words is "ten million, four hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 167 196 224 245 256 280 320 334 392 448 490 560 640 668 784 835 896 980 1120 1169 1280 1336 1568 1670 1792 1960 2240 2338 2672 3136 3340 3920 4480 4676 5344 5845 6272 6680 7840 8183 8960 9352 10688 11690 12544 13360 15680 16366 18704 21376 23380 26720 31360 32732 37408 40915 42752 46760 53440 62720 65464 74816 81830 93520 106880 130928 149632 163660 187040 213760 261856 299264 327320 374080 523712 654640 748160 1047424 1309280 1496320 2094848 2618560 5237120 10474240