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132130400 = 25522343167
BaseRepresentation
bin1111110000000…
…10011001100000
3100012121220211112
413320002121200
5232311133100
621040002452
73163042553
oct770023140
9305556745
10132130400
1168647586
1238300428
13214b338c
141379669a
15b8eeb35
hex7e02660

132130400 has 144 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 49082880.

The previous prime is 132130381. The next prime is 132130403. The reversal of 132130400 is 4031231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130403) 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 23 ways as a sum of consecutive naturals, for example, 791117 + ... + 791283.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2132130400 is an apocalyptic number.

132130400 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 132130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

132130400 is an abundant number, since it is smaller than the sum of its proper divisors (214347424).

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

132130400 is a wasteful number, since it uses less digits than its factorization.

132130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132130400 is about 11494.7988238159. The cubic root of 132130400 is about 509.3319460016.

Adding to 132130400 its reverse (4031231), we get a palindrome (136161631).

The spelling of 132130400 in words is "one hundred thirty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 43 46 50 80 86 92 100 115 160 167 172 184 200 215 230 334 344 368 400 430 460 575 668 688 736 800 835 860 920 989 1075 1150 1336 1376 1670 1720 1840 1978 2150 2300 2672 3340 3440 3680 3841 3956 4175 4300 4600 4945 5344 6680 6880 7181 7682 7912 8350 8600 9200 9890 13360 14362 15364 15824 16700 17200 18400 19205 19780 24725 26720 28724 30728 31648 33400 34400 35905 38410 39560 49450 57448 61456 66800 71810 76820 79120 96025 98900 114896 122912 133600 143620 153640 158240 165163 179525 192050 197800 229792 287240 307280 330326 359050 384100 395600 574480 614560 660652 718100 768200 791200 825815 1148960 1321304 1436200 1536400 1651630 2642608 2872400 3072800 3303260 4129075 5285216 5744800 6606520 8258150 13213040 16516300 26426080 33032600 66065200 132130400