Search a number
-
+
132321300 = 2235223127151
BaseRepresentation
bin1111110001100…
…01000000010100
3100012222121200220
413320301000110
5232333240200
621044034340
73164466246
oct770610024
9305877626
10132321300
1168767a51
12383929b0
132154c237
1413806096
15b93b4a0
hex7e31014

132321300 has 144 divisors (see below), whose sum is σ = 405307392. Its totient is φ = 33264000.

The previous prime is 132321283. The next prime is 132321307. The reversal of 132321300 is 3123231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132321300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876225 + ... + 876375.

Almost surely, 2132321300 is an apocalyptic number.

132321300 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 132321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202653696).

132321300 is an abundant number, since it is smaller than the sum of its proper divisors (272986092).

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

132321300 is a wasteful number, since it uses less digits than its factorization.

132321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

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

The square root of 132321300 is about 11503.0995822865. The cubic root of 132321300 is about 509.5771196580.

Adding to 132321300 its reverse (3123231), we get a palindrome (135444531).

The spelling of 132321300 in words is "one hundred thirty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 127 138 150 151 230 254 276 300 302 345 381 453 460 508 575 604 635 690 755 762 906 1150 1270 1380 1510 1524 1725 1812 1905 2265 2300 2540 2921 3020 3175 3450 3473 3775 3810 4530 5842 6350 6900 6946 7550 7620 8763 9060 9525 10419 11325 11684 12700 13892 14605 15100 17365 17526 19050 19177 20838 22650 29210 34730 35052 38100 38354 41676 43815 45300 52095 57531 58420 69460 73025 76708 86825 87630 95885 104190 115062 146050 173650 175260 191770 208380 219075 230124 260475 287655 292100 347300 383540 438150 441071 479425 520950 575310 876300 882142 958850 1041900 1150620 1323213 1438275 1764284 1917700 2205355 2646426 2876550 4410710 5292852 5753100 6616065 8821420 11026775 13232130 22053550 26464260 33080325 44107100 66160650 132321300