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1232730900 = 223452152189
BaseRepresentation
bin100100101111001…
…1111101100010100
310011220121012220000
41021132133230110
510011034342100
6322153411300
742356016432
oct11136375424
93156535800
101232730900
11582931a75
122a4a09b30
1316851448b
14b9a0dd52
1573353900
hex4979fb14

1232730900 has 90 divisors (see below), whose sum is σ = 3996052830. Its totient is φ = 328726080.

The previous prime is 1232730859. The next prime is 1232730907. The reversal of 1232730900 is 90372321.

It can be written as a sum of positive squares in 3 ways, for example, as 66781584 + 1165949316 = 8172^2 + 34146^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232730907) 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 29 ways as a sum of consecutive naturals, for example, 67995 + ... + 84194.

It is an arithmetic number, because the mean of its divisors is an integer number (44400587).

Almost surely, 21232730900 is an apocalyptic number.

1232730900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232730900 is an abundant number, since it is smaller than the sum of its proper divisors (2763321930).

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

1232730900 is a wasteful number, since it uses less digits than its factorization.

1232730900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152215 (or 152199 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1232730900 is about 35110.2677289707. The cubic root of 1232730900 is about 1072.2336372120.

The spelling of 1232730900 in words is "one billion, two hundred thirty-two million, seven hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 152189 304378 456567 608756 760945 913134 1369701 1521890 1826268 2282835 2739402 3043780 3804725 4109103 4565670 5478804 6848505 7609450 8218206 9131340 11414175 12327309 13697010 15218900 16436412 20545515 22828350 24654618 27394020 34242525 41091030 45656700 49309236 61636545 68485050 82182060 102727575 123273090 136970100 205455150 246546180 308182725 410910300 616365450 1232730900