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4102440 = 2335172011
BaseRepresentation
bin1111101001100100101000
321201102111020
433221210220
52022234230
6223532440
746604316
oct17514450
97642436
104102440
112352251
12145a120
13b083a4
1478b0b6
15560810
hex3e9928

4102440 has 64 divisors (see below), whose sum is σ = 13037760. Its totient is φ = 1029120.

The previous prime is 4102409. The next prime is 4102453. The reversal of 4102440 is 442014.

4102440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 1035 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (203715).

Almost surely, 24102440 is an apocalyptic number.

4102440 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 4102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518880).

4102440 is an abundant number, since it is smaller than the sum of its proper divisors (8935320).

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

4102440 is a wasteful number, since it uses less digits than its factorization.

4102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4102440 is about 2025.4480985698. The cubic root of 4102440 is about 160.0838102580.

Adding to 4102440 its reverse (442014), we get a palindrome (4544454).

It can be divided in two parts, 410 and 2440, that added together give a triangular number (2850 = T75).

The spelling of 4102440 in words is "four million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2011 2040 4022 6033 8044 10055 12066 16088 20110 24132 30165 34187 40220 48264 60330 68374 80440 102561 120660 136748 170935 205122 241320 273496 341870 410244 512805 683740 820488 1025610 1367480 2051220 4102440