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10082440 = 2353147173
BaseRepresentation
bin100110011101…
…100010001000
3200222020111201
4212131202020
510040114230
61000033544
7151461604
oct46354210
920866451
1010082440
1157670a5
1234628b4
132120254
1414a6504
15d425ca
hex99d888

10082440 has 64 divisors (see below), whose sum is σ = 24053760. Its totient is φ = 3797760.

The previous prime is 10082431. The next prime is 10082447. The reversal of 10082440 is 4428001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082447) 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, 58194 + ... + 58366.

It is an arithmetic number, because the mean of its divisors is an integer number (375840).

Almost surely, 210082440 is an apocalyptic number.

10082440 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 10082440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026880).

10082440 is an abundant number, since it is smaller than the sum of its proper divisors (13971320).

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

10082440 is a wasteful number, since it uses less digits than its factorization.

10082440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10082440 is about 3175.2858139072. The cubic root of 10082440 is about 216.0338881444.

The spelling of 10082440 in words is "ten million, eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 173 188 235 248 310 346 376 470 620 692 865 940 1240 1384 1457 1730 1880 2914 3460 5363 5828 6920 7285 8131 10726 11656 14570 16262 21452 26815 29140 32524 40655 42904 53630 58280 65048 81310 107260 162620 214520 252061 325240 504122 1008244 1260305 2016488 2520610 5041220 10082440