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132034890 = 235133167163
BaseRepresentation
bin1111101111010…
…11000101001010
3100012110001211010
413313223011022
5232300104030
621033544350
73162164241
oct767530512
9305401733
10132034890
1168591849
12382750b6
132147ba70
141376d958
15b8d16b0
hex7deb14a

132034890 has 128 divisors (see below), whose sum is σ = 359718912. Its totient is φ = 30792960.

The previous prime is 132034879. The next prime is 132034909. The reversal of 132034890 is 98430231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809949 + ... + 810111.

It is an arithmetic number, because the mean of its divisors is an integer number (2810304).

Almost surely, 2132034890 is an apocalyptic number.

132034890 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 132034890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179859456).

132034890 is an abundant number, since it is smaller than the sum of its proper divisors (227684022).

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

132034890 is a wasteful number, since it uses less digits than its factorization.

132034890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 132034890 is about 11490.6435851087. The cubic root of 132034890 is about 509.2091934780.

The spelling of 132034890 in words is "one hundred thirty-two million, thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 67 78 93 130 134 155 163 186 195 201 310 326 335 390 402 403 465 489 670 806 815 871 930 978 1005 1209 1630 1742 2010 2015 2077 2119 2418 2445 2613 4030 4154 4238 4355 4890 5053 5226 6045 6231 6357 8710 10106 10385 10595 10921 12090 12462 12714 13065 15159 20770 21190 21842 25265 26130 27001 30318 31155 31785 32763 50530 54002 54605 62310 63570 65526 65689 75795 81003 109210 131378 135005 141973 151590 162006 163815 197067 270010 283946 327630 328445 338551 394134 405015 425919 656890 677102 709865 810030 851838 985335 1015653 1419730 1692755 1970670 2031306 2129595 3385510 4259190 4401163 5078265 8802326 10156530 13203489 22005815 26406978 44011630 66017445 132034890