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4100240 = 245107479
BaseRepresentation
bin1111101001000010010000
321201022110202
433221002100
52022201430
6223514332
746565024
oct17510220
97638422
104100240
112350631
1214589a8
13b073a1
1478a384
1555ed45
hex3e9090

4100240 has 40 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1621376.

The previous prime is 4100231. The next prime is 4100249. The reversal of 4100240 is 420014.

It is an interprime number because it is at equal distance from previous prime (4100231) and next prime (4100249).

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8321 + ... + 8799.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 24100240 is an apocalyptic number.

4100240 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 4100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

4100240 is an abundant number, since it is smaller than the sum of its proper divisors (5542000).

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

4100240 is a wasteful number, since it uses less digits than its factorization.

4100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4100240 is about 2024.9049360402. The cubic root of 4100240 is about 160.0551892945.

Adding to 4100240 its reverse (420014), we get a palindrome (4520254).

It can be divided in two parts, 4 and 100240, that multiplied together give a triangular number (400960 = T895).

The spelling of 4100240 in words is "four million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 479 535 856 958 1070 1712 1916 2140 2395 3832 4280 4790 7664 8560 9580 19160 38320 51253 102506 205012 256265 410024 512530 820048 1025060 2050120 4100240