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1149132 = 2231743131
BaseRepresentation
bin100011000100011001100
32011101022110
410120203030
5243233012
640344020
712524145
oct4304314
92141273
101149132
117153a6
12475010
1331307a
1421cacc
1517a73c
hex1188cc

1149132 has 48 divisors (see below), whose sum is σ = 2927232. Its totient is φ = 349440.

The previous prime is 1149131. The next prime is 1149151. The reversal of 1149132 is 2319411.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1149099 and 1149108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149131) 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, 8707 + ... + 8837.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

21149132 is an apocalyptic number.

1149132 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 1149132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616).

1149132 is an abundant number, since it is smaller than the sum of its proper divisors (1778100).

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

1149132 is a wasteful number, since it uses less digits than its factorization.

1149132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 1149132 is about 1071.9757459943. The cubic root of 1149132 is about 104.7425894207.

The spelling of 1149132 in words is "one million, one hundred forty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 131 172 204 258 262 393 516 524 731 786 1462 1572 2193 2227 2924 4386 4454 5633 6681 8772 8908 11266 13362 16899 22532 26724 33798 67596 95761 191522 287283 383044 574566 1149132