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103530252 = 223710112203
BaseRepresentation
bin1100010101110…
…11111100001100
321012210212210210
412022323330030
5203000432002
614135002420
72364664320
oct612737414
9235725723
10103530252
11534928a1
122a809410
13185ab607
14da6d980
15915096c
hex62bbf0c

103530252 has 48 divisors (see below), whose sum is σ = 278836992. Its totient is φ = 29284800.

The previous prime is 103530247. The next prime is 103530257. The reversal of 103530252 is 252035301.

It is an interprime number because it is at equal distance from previous prime (103530247) and next prime (103530257).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (103530257) 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, 2383 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (5809104).

Almost surely, 2103530252 is an apocalyptic number.

103530252 is a gapful number since it is divisible by the number (12) 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 103530252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139418496).

103530252 is an abundant number, since it is smaller than the sum of its proper divisors (175306740).

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

103530252 is a wasteful number, since it uses less digits than its factorization.

103530252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 103530252 is about 10174.9816707452. The cubic root of 103530252 is about 469.5578337346.

Adding to 103530252 its reverse (252035301), we get a palindrome (355565553).

The spelling of 103530252 in words is "one hundred three million, five hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 12203 24406 36609 48812 73218 85421 146436 170842 256263 341684 512526 1025052 1232503 2465006 3697509 4930012 7395018 8627521 14790036 17255042 25882563 34510084 51765126 103530252