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30132840 = 23351714771
BaseRepresentation
bin111001011110…
…0101001101000
32002200220111010
41302330221220
530203222330
62553503520
7514060563
oct162745150
962626433
1030132840
1116011281
12a111ba0
1363205aa
1440054da
1529a33b0
hex1cbca68

30132840 has 64 divisors (see below), whose sum is σ = 95722560. Its totient is φ = 7562240.

The previous prime is 30132833. The next prime is 30132847. The reversal of 30132840 is 4823103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30132833) and next prime (30132847).

It is not an unprimeable number, because it can be changed into a prime (30132847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5346 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (1495665).

Almost surely, 230132840 is an apocalyptic number.

30132840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30132840 is an abundant number, since it is smaller than the sum of its proper divisors (65589720).

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

30132840 is a wasteful number, since it uses less digits than its factorization.

30132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14802 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30132840 is about 5489.3387579926. The cubic root of 30132840 is about 311.1812028394.

Adding to 30132840 its reverse (4823103), we get a palindrome (34955943).

It can be divided in two parts, 30 and 132840, that added together give a triangular number (132870 = T515).

The spelling of 30132840 in words is "thirty million, one hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 14771 29542 44313 59084 73855 88626 118168 147710 177252 221565 251107 295420 354504 443130 502214 590840 753321 886260 1004428 1255535 1506642 1772520 2008856 2511070 3013284 3766605 5022140 6026568 7533210 10044280 15066420 30132840