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132344010 = 23354710429
BaseRepresentation
bin1111110001101…
…10100011001010
3100020000202212000
413320312203022
5232340002020
621044331430
73164622411
oct770664312
9306022760
10132344010
1168783017
12383a3b76
1321559686
1413810478
15b943090
hex7e368ca

132344010 has 64 divisors (see below), whose sum is σ = 360460800. Its totient is φ = 34537536.

The previous prime is 132343973. The next prime is 132344027. The reversal of 132344010 is 10443231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7476 + ... + 17904.

It is an arithmetic number, because the mean of its divisors is an integer number (5632200).

Almost surely, 2132344010 is an apocalyptic number.

132344010 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 132344010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180230400).

132344010 is an abundant number, since it is smaller than the sum of its proper divisors (228116790).

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

132344010 is a wasteful number, since it uses less digits than its factorization.

132344010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132344010 is about 11504.0866651812. The cubic root of 132344010 is about 509.6062705062.

Adding to 132344010 its reverse (10443231), we get a palindrome (142787241).

The spelling of 132344010 in words is "one hundred thirty-two million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 10429 12690 20858 31287 52145 62574 93861 104290 156435 187722 281583 312870 469305 490163 563166 938610 980326 1407915 1470489 2450815 2815830 2940978 4411467 4901630 7352445 8822934 13234401 14704890 22057335 26468802 44114670 66172005 132344010