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332130540 = 223571515237
BaseRepresentation
bin10011110010111…
…110100011101100
3212010221222110010
4103302332203230
51140011134130
652542413220
711142030420
oct2362764354
9763858403
10332130540
1116052a655
1293291210
1353a6a761
1432178b80
151e2590b0
hex13cbe8ec

332130540 has 96 divisors (see below), whose sum is σ = 1070060544. Its totient is φ = 75398400.

The previous prime is 332130523. The next prime is 332130551. The reversal of 332130540 is 45031233.

It is a super-2 number, since 2×3321305402 = 220621391201383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 60802 + ... + 66038.

It is an arithmetic number, because the mean of its divisors is an integer number (11146464).

Almost surely, 2332130540 is an apocalyptic number.

332130540 is a gapful number since it is divisible by the number (30) 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 332130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535030272).

332130540 is an abundant number, since it is smaller than the sum of its proper divisors (737930004).

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

332130540 is a wasteful number, since it uses less digits than its factorization.

332130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5405 counting only the distinct ones).

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

The square root of 332130540 is about 18224.4489628630. The cubic root of 332130540 is about 692.5262989226.

Adding to 332130540 its reverse (45031233), we get a palindrome (377161773).

The spelling of 332130540 in words is "three hundred thirty-two million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 4228 4530 5237 5285 6342 9060 10474 10570 12684 15711 15855 20948 21140 26185 31422 31710 36659 52370 62844 63420 73318 78555 104740 109977 146636 157110 183295 219954 314220 366590 439908 549885 733180 790787 1099770 1581574 2199540 2372361 3163148 3953935 4744722 5535509 7907870 9489444 11071018 11861805 15815740 16606527 22142036 23723610 27677545 33213054 47447220 55355090 66426108 83032635 110710180 166065270 332130540