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132332010 = 23541271397
BaseRepresentation
bin1111110001100…
…11100111101010
3100020000011101120
413320303213222
5232334111020
621044200110
73164542416
oct770634752
9306004346
10132332010
1168774aa8
1238399036
1321554085
1413809d46
15b93e740
hex7e339ea

132332010 has 64 divisors (see below), whose sum is σ = 327366144. Its totient is φ = 34214400.

The previous prime is 132331993. The next prime is 132332033. The reversal of 132332010 is 10233231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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, 333132 + ... + 333528.

It is an arithmetic number, because the mean of its divisors is an integer number (5115096).

Almost surely, 2132332010 is an apocalyptic number.

132332010 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 132332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163683072).

132332010 is an abundant number, since it is smaller than the sum of its proper divisors (195034134).

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

132332010 is a wasteful number, since it uses less digits than its factorization.

132332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132332010 is about 11503.5650995680. The cubic root of 132332010 is about 509.5908675673.

Adding to 132332010 its reverse (10233231), we get a palindrome (142565241).

It can be divided in two parts, 1323 and 32010, that added together give a palindrome (33333).

The spelling of 132332010 in words is "one hundred thirty-two million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 397 410 542 615 794 813 1191 1230 1355 1626 1985 2382 2710 3970 4065 5955 8130 11111 11910 16277 22222 32554 33333 48831 55555 66666 81385 97662 107587 111110 162770 166665 215174 244155 322761 333330 488310 537935 645522 1075870 1613805 3227610 4411067 8822134 13233201 22055335 26466402 44110670 66166005 132332010