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132497820 = 223257138089
BaseRepresentation
bin1111110010111…
…00000110011100
3100020022120211200
413321130012130
5232404412240
621051515500
73166133010
oct771340634
9306276750
10132497820
1168878634
1238458b90
13215b16a0
1413850540
15b973930
hex7e5c19c

132497820 has 144 divisors (see below), whose sum is σ = 494719680. Its totient is φ = 27952128.

The previous prime is 132497801. The next prime is 132497821. The reversal of 132497820 is 28794231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132497821) 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, 12336 + ... + 20424.

Almost surely, 2132497820 is an apocalyptic number.

132497820 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 132497820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247359840).

132497820 is an abundant number, since it is smaller than the sum of its proper divisors (362221860).

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

132497820 is a wasteful number, since it uses less digits than its factorization.

132497820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 132497820 is about 11510.7697396829. The cubic root of 132497820 is about 509.8036152763.

The spelling of 132497820 in words is "one hundred thirty-two million, four hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8089 8190 16178 16380 24267 32356 40445 48534 56623 72801 80890 97068 105157 113246 121335 145602 161780 169869 210314 226492 242670 283115 291204 315471 339738 364005 420628 485340 509607 525785 566230 630942 679476 728010 736099 849345 946413 1019214 1051570 1132460 1261884 1456020 1472198 1577355 1698690 1892826 2038428 2103140 2208297 2548035 2944396 3154710 3397380 3680495 3785652 4416594 4732065 5096070 6309420 6624891 7360990 8833188 9464130 10192140 11041485 13249782 14721980 18928260 22082970 26499564 33124455 44165940 66248910 132497820