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10875240 = 23325171777
BaseRepresentation
bin101001011111…
…000101101000
3202110112000200
4221133011220
510241001430
61025032200
7161303145
oct51370550
922415020
1010875240
116158802
123785660
13233a06c
1416313cc
15e4c460
hexa5f168

10875240 has 96 divisors (see below), whose sum is σ = 37444680. Its totient is φ = 2727936.

The previous prime is 10875199. The next prime is 10875247. The reversal of 10875240 is 4257801.

10875240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 1028196 = 3138^2 + 1014^2 .

It is not an unprimeable number, because it can be changed into a prime (10875247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5232 + ... + 7008.

Almost surely, 210875240 is an apocalyptic number.

10875240 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 10875240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

10875240 is an abundant number, since it is smaller than the sum of its proper divisors (26569440).

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

10875240 is a wasteful number, since it uses less digits than its factorization.

10875240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10875240 is about 3297.7628780736. The cubic root of 10875240 is about 221.5540108833.

The spelling of 10875240 in words is "ten million, eight hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 1777 2040 3060 3554 5331 6120 7108 8885 10662 14216 15993 17770 21324 26655 30209 31986 35540 42648 53310 60418 63972 71080 79965 90627 106620 120836 127944 151045 159930 181254 213240 241672 271881 302090 319860 362508 453135 543762 604180 639720 725016 906270 1087524 1208360 1359405 1812540 2175048 2718810 3625080 5437620 10875240