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11532140 = 2252959337
BaseRepresentation
bin101011111111…
…011101101100
3210200220010022
4223333131230
510423012030
61051101312
7200010254
oct53773554
923626108
1011532140
1165672a4
123a41838
13250a069
141762964
15102bde5
hexaff76c

11532140 has 48 divisors (see below), whose sum is σ = 25552800. Its totient is φ = 4365312.

The previous prime is 11532133. The next prime is 11532149. The reversal of 11532140 is 4123511.

It is not an unprimeable number, because it can be changed into a prime (11532149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34052 + ... + 34388.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 211532140 is an apocalyptic number.

11532140 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 11532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776400).

11532140 is an abundant number, since it is smaller than the sum of its proper divisors (14020660).

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

11532140 is a wasteful number, since it uses less digits than its factorization.

11532140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11532140 is about 3395.9004696840. The cubic root of 11532140 is about 225.9279536449.

Adding to 11532140 its reverse (4123511), we get a palindrome (15655651).

The spelling of 11532140 in words is "eleven million, five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 337 580 590 674 1180 1348 1685 1711 3370 3422 6740 6844 8555 9773 17110 19546 19883 34220 39092 39766 48865 79532 97730 99415 195460 198830 397660 576607 1153214 2306428 2883035 5766070 11532140