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1320132400 = 24523300331
BaseRepresentation
bin100111010101111…
…1001111100110000
310102000001200012121
41032223321330300
510200423214100
6334555004024
744466640336
oct11653717460
93360050177
101320132400
116181a9014
1230a139614
13180666742
14c7481b56
157ad6a51a
hex4eaf9f30

1320132400 has 30 divisors (see below), whose sum is σ = 3171619052. Its totient is φ = 528052800.

The previous prime is 1320132383. The next prime is 1320132409. The reversal of 1320132400 is 42310231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1320132409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1649766 + ... + 1650565.

Almost surely, 21320132400 is an apocalyptic number.

1320132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320132400 is an abundant number, since it is smaller than the sum of its proper divisors (1851486652).

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

1320132400 is a wasteful number, since it uses less digits than its factorization.

1320132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300349 (or 3300338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1320132400 is about 36333.6262985131. The cubic root of 1320132400 is about 1096.9979854415.

Adding to 1320132400 its reverse (42310231), we get a palindrome (1362442631).

The spelling of 1320132400 in words is "one billion, three hundred twenty million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3300331 6600662 13201324 16501655 26402648 33003310 52805296 66006620 82508275 132013240 165016550 264026480 330033100 660066200 1320132400