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132498450 = 23352722003
BaseRepresentation
bin1111110010111…
…00010000010010
3100020022121201000
413321130100102
5232404422300
621051522430
73166134600
oct771342022
9306277630
10132498450
1168879057
1238459416
13215b1a66
1413850870
15b973c00
hex7e5c412

132498450 has 144 divisors (see below), whose sum is σ = 424928160. Its totient is φ = 30270240.

The previous prime is 132498439. The next prime is 132498473. The reversal of 132498450 is 54894231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65149 + ... + 67151.

It is an arithmetic number, because the mean of its divisors is an integer number (2950890).

Almost surely, 2132498450 is an apocalyptic number.

132498450 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 132498450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212464080).

132498450 is an abundant number, since it is smaller than the sum of its proper divisors (292429710).

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

132498450 is a wasteful number, since it uses less digits than its factorization.

132498450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 132498450 is about 11510.7971053268. The cubic root of 132498450 is about 509.8044232790.

The spelling of 132498450 in words is "one hundred thirty-two million, four hundred ninety-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1050 1225 1323 1350 1470 1575 1890 2003 2205 2450 2646 3150 3675 4006 4410 4725 6009 6615 7350 9450 10015 11025 12018 13230 14021 18027 20030 22050 28042 30045 33075 36054 42063 50075 54081 60090 66150 70105 84126 90135 98147 100150 108162 126189 140210 150225 180270 196294 210315 252378 270405 294441 300450 350525 378567 420630 450675 490735 540810 588882 630945 701050 757134 883323 901350 981470 1051575 1261890 1352025 1472205 1766646 1892835 2103150 2453675 2649969 2704050 2944410 3154725 3785670 4416615 4907350 5299938 6309450 7361025 8833230 9464175 13249845 14722050 18928350 22083075 26499690 44166150 66249225 132498450