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13522500 = 223254601
BaseRepresentation
bin110011100101…
…011001000100
3221110000101100
4303211121010
511430210000
61201500100
7222640125
oct63453104
927400340
1013522500
1176a6722
124641630
132a55ca4
141b2004c
1512c1a00
hexce5644

13522500 has 90 divisors (see below), whose sum is σ = 42784742. Its totient is φ = 3600000.

The previous prime is 13522499. The next prime is 13522549. The reversal of 13522500 is 522531.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2985984 + 10536516 = 1728^2 + 3246^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 22200 + ... + 22800.

Almost surely, 213522500 is an apocalyptic number.

13522500 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 13522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392371).

13522500 is an abundant number, since it is smaller than the sum of its proper divisors (29262242).

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

13522500 is a wasteful number, since it uses less digits than its factorization.

13522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13522500 is about 3677.2952016394. The cubic root of 13522500 is about 238.2423677934.

The spelling of 13522500 in words is "thirteen million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 601 625 750 900 1125 1202 1250 1500 1803 1875 2250 2404 2500 3005 3606 3750 4500 5409 5625 6010 7212 7500 9015 10818 11250 12020 15025 18030 21636 22500 27045 30050 36060 45075 54090 60100 75125 90150 108180 135225 150250 180300 225375 270450 300500 375625 450750 540900 676125 751250 901500 1126875 1352250 1502500 2253750 2704500 3380625 4507500 6761250 13522500