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132400000 = 2755331
BaseRepresentation
bin1111110010001…
…00001110000000
3100020010121122201
413321010032000
5232343300000
621045442544
73165244555
oct771041600
9306117581
10132400000
1168811097
1238410454
1321578cc5
1413826a2c
15b95496a
hex7e44380

132400000 has 96 divisors (see below), whose sum is σ = 330681960. Its totient is φ = 52800000.

The previous prime is 132399959. The next prime is 132400007. The reversal of 132400000 is 4231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 132400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400007) 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 11 ways as a sum of consecutive naturals, for example, 399835 + ... + 400165.

Almost surely, 2132400000 is an apocalyptic number.

132400000 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 132400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165340980).

132400000 is an abundant number, since it is smaller than the sum of its proper divisors (198281960).

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

132400000 is an frugal number, since it uses more digits than its factorization.

132400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 132400000 is about 11506.5198909140. The cubic root of 132400000 is about 509.6781257474.

Adding to 132400000 its reverse (4231), we get a palindrome (132404231).

The spelling of 132400000 in words is "one hundred thirty-two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 331 400 500 625 640 662 800 1000 1250 1324 1600 1655 2000 2500 2648 3125 3200 3310 4000 5000 5296 6250 6620 8000 8275 10000 10592 12500 13240 16000 16550 20000 21184 25000 26480 33100 40000 41375 42368 50000 52960 66200 80000 82750 100000 105920 132400 165500 200000 206875 211840 264800 331000 400000 413750 529600 662000 827500 1034375 1059200 1324000 1655000 2068750 2648000 3310000 4137500 5296000 6620000 8275000 13240000 16550000 26480000 33100000 66200000 132400000