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132532890 = 2357372461
BaseRepresentation
bin1111110011001…
…00101010011010
3100020101100221120
413321210222122
5232412023030
621052350110
73166340160
oct771445232
9306340846
10132532890
11688a1a16
1238475336
13215c4639
141385d230
15b97e010
hex7e64a9a

132532890 has 96 divisors (see below), whose sum is σ = 374419584. Its totient is φ = 29410560.

The previous prime is 132532817. The next prime is 132532891. The reversal of 132532890 is 98235231.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132532891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287260 + ... + 287720.

It is an arithmetic number, because the mean of its divisors is an integer number (3900204).

Almost surely, 2132532890 is an apocalyptic number.

132532890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132532890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187209792).

132532890 is an abundant number, since it is smaller than the sum of its proper divisors (241886694).

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

132532890 is a wasteful number, since it uses less digits than its factorization.

132532890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 132532890 is about 11512.2929948816. The cubic root of 132532890 is about 509.8485901939.

The spelling of 132532890 in words is "one hundred thirty-two million, five hundred thirty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 461 518 555 777 922 1110 1295 1369 1383 1554 2305 2590 2738 2766 3227 3885 4107 4610 6454 6845 6915 7770 8214 9583 9681 13690 13830 16135 17057 19166 19362 20535 28749 32270 34114 41070 47915 48405 51171 57498 85285 95830 96810 102342 119399 143745 170570 238798 255855 287490 358197 511710 596995 631109 716394 1193990 1262218 1790985 1893327 3155545 3581970 3786654 4417763 6311090 8835526 9466635 13253289 18933270 22088815 26506578 44177630 66266445 132532890