Search a number
-
+
132005808 = 24331127779
BaseRepresentation
bin1111101111000…
…11111110110000
3100012101120221000
413313203332300
5232243141213
621033202000
73162013404
oct767437660
9305346830
10132005808
1168571a10
1238260300
132146b75c
1413763104
15b8c7c73
hex7de3fb0

132005808 has 80 divisors (see below), whose sum is σ = 413366400. Its totient is φ = 40000320.

The previous prime is 132005807. The next prime is 132005837. The reversal of 132005808 is 808500231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132005801) 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, 9138 + ... + 18641.

It is an arithmetic number, because the mean of its divisors is an integer number (5167080).

Almost surely, 2132005808 is an apocalyptic number.

132005808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132005808 is an abundant number, since it is smaller than the sum of its proper divisors (281360592).

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

132005808 is a wasteful number, since it uses less digits than its factorization.

132005808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27807 (or 27795 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 132005808 is about 11489.3780510522. The cubic root of 132005808 is about 509.1718046000.

The spelling of 132005808 in words is "one hundred thirty-two million, five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 27779 55558 83337 111116 166674 222232 250011 305569 333348 444464 500022 611138 666696 750033 916707 1000044 1222276 1333392 1500066 1833414 2000088 2444552 2750121 3000132 3666828 4000176 4889104 5500242 6000264 7333656 8250363 11000484 12000528 14667312 16500726 22000968 33001452 44001936 66002904 132005808