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132630000 = 243544421
BaseRepresentation
bin1111110011111…
…00010111110000
3100020120022011020
413321330113300
5232423130000
621054415440
73200223246
oct771742760
9306508136
10132630000
1168958978
1238501580
13216298b9
1413886796
15b99cba0
hex7e7c5f0

132630000 has 100 divisors (see below), whose sum is σ = 428244168. Its totient is φ = 35360000.

The previous prime is 132629999. The next prime is 132630007. The reversal of 132630000 is 36231.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132630007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 27790 + ... + 32210.

Almost surely, 2132630000 is an apocalyptic number.

132630000 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 132630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214122084).

132630000 is an abundant number, since it is smaller than the sum of its proper divisors (295614168).

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

132630000 is an equidigital number, since it uses as much as digits as its factorization.

132630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4431 counting only the distinct ones).

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

The square root of 132630000 is about 11516.5098879826. The cubic root of 132630000 is about 509.9730858538.

Adding to 132630000 its reverse (36231), we get a palindrome (132666231).

The spelling of 132630000 in words is "one hundred thirty-two million, six hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 4421 5000 6000 7500 8842 10000 13263 15000 17684 22105 26526 30000 35368 44210 53052 66315 70736 88420 106104 110525 132630 176840 212208 221050 265260 331575 353680 442100 530520 552625 663150 884200 1061040 1105250 1326300 1657875 1768400 2210500 2652600 2763125 3315750 4421000 5305200 5526250 6631500 8289375 8842000 11052500 13263000 16578750 22105000 26526000 33157500 44210000 66315000 132630000