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132503340 = 223519472473
BaseRepresentation
bin1111110010111…
…01011100101100
3100020022212102010
413321131130230
5232410101330
621052001220
73166155054
oct771353454
9306285363
10132503340
11688817a2
1238460210
13215b4058
1413852564
15b9753b0
hex7e5d72c

132503340 has 96 divisors (see below), whose sum is σ = 399006720. Its totient is φ = 32749056.

The previous prime is 132503323. The next prime is 132503347. The reversal of 132503340 is 43305231.

It is a super-2 number, since 2×1325033402 = 35114270222311200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132503347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52344 + ... + 54816.

It is an arithmetic number, because the mean of its divisors is an integer number (4156320).

Almost surely, 2132503340 is an apocalyptic number.

132503340 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 132503340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199503360).

132503340 is an abundant number, since it is smaller than the sum of its proper divisors (266503380).

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

132503340 is a wasteful number, since it uses less digits than its factorization.

132503340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 132503340 is about 11511.0095126362. The cubic root of 132503340 is about 509.8106948315.

Adding to 132503340 its reverse (43305231), we get a palindrome (175808571).

The spelling of 132503340 in words is "one hundred thirty-two million, five hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 2473 2679 2820 3572 4465 4946 5358 7419 8930 9892 10716 12365 13395 14838 17860 24730 26790 29676 37095 46987 49460 53580 74190 93974 116231 140961 148380 187948 232462 234935 281922 348693 464924 469870 563844 581155 697386 704805 939740 1162310 1394772 1409610 1743465 2208389 2324620 2819220 3486930 4416778 6625167 6973860 8833556 11041945 13250334 22083890 26500668 33125835 44167780 66251670 132503340