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1332500 = 22541341
BaseRepresentation
bin101000101010100010100
32111200211212
411011110110
5320120000
644320552
714216561
oct5052424
92450755
101332500
11830144
12543158
13378680
14269868
151b4c35
hex145514

1332500 has 60 divisors (see below), whose sum is σ = 3214596. Its totient is φ = 480000.

The previous prime is 1332491. The next prime is 1332503. The reversal of 1332500 is 52331.

It can be written as a sum of positive squares in 10 ways, for example, as 1331716 + 784 = 1154^2 + 28^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32480 + ... + 32520.

21332500 is an apocalyptic number.

1332500 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 1332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607298).

1332500 is an abundant number, since it is smaller than the sum of its proper divisors (1882096).

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

1332500 is a wasteful number, since it uses less digits than its factorization.

1332500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 1332500 is about 1154.3396380615. The cubic root of 1332500 is about 110.0413068007.

Adding to 1332500 its reverse (52331), we get a palindrome (1384831).

It can be divided in two parts, 13 and 32500, that multiplied together give a square (422500 = 6502).

The spelling of 1332500 in words is "one million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 125 130 164 205 250 260 325 410 500 533 625 650 820 1025 1066 1250 1300 1625 2050 2132 2500 2665 3250 4100 5125 5330 6500 8125 10250 10660 13325 16250 20500 25625 26650 32500 51250 53300 66625 102500 133250 266500 333125 666250 1332500