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132030400 = 2652179461
BaseRepresentation
bin1111101111010…
…01111111000000
3100012102211122211
413313221333000
5232244433100
621033511504
73162145165
oct767517700
9305384584
10132030400
1168589437
1238272594
13214799c8
141376c06c
15b8d01ba
hex7de9fc0

132030400 has 84 divisors (see below), whose sum is σ = 327400920. Its totient is φ = 52403200.

The previous prime is 132030397. The next prime is 132030407. The reversal of 132030400 is 4030231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132030407) 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 11 ways as a sum of consecutive naturals, for example, 286170 + ... + 286630.

It is an arithmetic number, because the mean of its divisors is an integer number (3897630).

Almost surely, 2132030400 is an apocalyptic number.

132030400 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 132030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163700460).

132030400 is an abundant number, since it is smaller than the sum of its proper divisors (195370520).

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

132030400 is a wasteful number, since it uses less digits than its factorization.

132030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132030400 is about 11490.4482070979. The cubic root of 132030400 is about 509.2034213289.

Adding to 132030400 its reverse (4030231), we get a palindrome (136060631).

The spelling of 132030400 in words is "one hundred thirty-two million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 179 200 320 358 400 461 716 800 895 922 1432 1600 1790 1844 2305 2864 3580 3688 4475 4610 5728 7160 7376 8950 9220 11456 11525 14320 14752 17900 18440 23050 28640 29504 35800 36880 46100 57280 71600 73760 82519 92200 143200 147520 165038 184400 286400 330076 368800 412595 660152 737600 825190 1320304 1650380 2062975 2640608 3300760 4125950 5281216 6601520 8251900 13203040 16503800 26406080 33007600 66015200 132030400