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132020400 = 24352110017
BaseRepresentation
bin1111101111001…
…11100010110000
3100012102022221110
413313213202300
5232244123100
621033353320
73162104061
oct767474260
9305368843
10132020400
1168581976
1238268840
13214752a5
1413768568
15b8cc250
hex7de78b0

132020400 has 60 divisors (see below), whose sum is σ = 422909192. Its totient is φ = 35205120.

The previous prime is 132020389. The next prime is 132020411. The reversal of 132020400 is 4020231.

132020400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132020389) and next prime (132020411).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53809 + ... + 56208.

Almost surely, 2132020400 is an apocalyptic number.

132020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132020400 is an abundant number, since it is smaller than the sum of its proper divisors (290888792).

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

132020400 is a wasteful number, since it uses less digits than its factorization.

132020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110038 (or 110027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132020400 is about 11490.0130548229. The cubic root of 132020400 is about 509.1905652928.

Adding to 132020400 its reverse (4020231), we get a palindrome (136040631).

The spelling of 132020400 in words is "one hundred thirty-two million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 110017 220034 330051 440068 550085 660102 880136 1100170 1320204 1650255 1760272 2200340 2640408 2750425 3300510 4400680 5280816 5500850 6601020 8251275 8801360 11001700 13202040 16502550 22003400 26404080 33005100 44006800 66010200 132020400