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103534240 = 255798191
BaseRepresentation
bin1100010101111…
…00111010100000
321012211002021111
412022330322200
5203001043430
614135033104
72365012045
oct612747240
9235732244
10103534240
1153495897
122a80b794
13185b0384
14da711cc
159151c2a
hex62bcea0

103534240 has 48 divisors (see below), whose sum is σ = 247726080. Its totient is φ = 40884480.

The previous prime is 103534231. The next prime is 103534241. The reversal of 103534240 is 42435301.

It is not an unprimeable number, because it can be changed into a prime (103534241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8545 + ... + 16735.

It is an arithmetic number, because the mean of its divisors is an integer number (5160960).

Almost surely, 2103534240 is an apocalyptic number.

103534240 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 103534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123863040).

103534240 is an abundant number, since it is smaller than the sum of its proper divisors (144191840).

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

103534240 is an equidigital number, since it uses as much as digits as its factorization.

103534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 103534240 is about 10175.1776397270. The cubic root of 103534240 is about 469.5638628020.

Adding to 103534240 its reverse (42435301), we get a palindrome (145969541).

The spelling of 103534240 in words is "one hundred three million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 8191 12640 16382 32764 40955 65528 81910 131056 163820 262112 327640 647089 655280 1294178 1310560 2588356 3235445 5176712 6470890 10353424 12941780 20706848 25883560 51767120 103534240