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1542132 = 2233109131
BaseRepresentation
bin101111000011111110100
32220100102000
411320133310
5343322012
653015300
716052004
oct5703764
92810360
101542132
11963699
12624530
1341cc07
142c2004
15206ddc
hex1787f4

1542132 has 48 divisors (see below), whose sum is σ = 4065600. Its totient is φ = 505440.

The previous prime is 1542131. The next prime is 1542137. The reversal of 1542132 is 2312451.

It is a super-2 number, since 2×15421322 = 4756342210848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542131) 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 15 ways as a sum of consecutive naturals, for example, 11707 + ... + 11837.

It is an arithmetic number, because the mean of its divisors is an integer number (84700).

21542132 is an apocalyptic number.

1542132 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 1542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032800).

1542132 is an abundant number, since it is smaller than the sum of its proper divisors (2523468).

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

1542132 is a wasteful number, since it uses less digits than its factorization.

1542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 1542132 is about 1241.8260747786. The cubic root of 1542132 is about 115.5333012426.

Adding to 1542132 its reverse (2312451), we get a palindrome (3854583).

The spelling of 1542132 in words is "one million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 131 218 262 327 393 436 524 654 786 981 1179 1308 1572 1962 2358 2943 3537 3924 4716 5886 7074 11772 14148 14279 28558 42837 57116 85674 128511 171348 257022 385533 514044 771066 1542132