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1332505040 = 245113147401
BaseRepresentation
bin100111101101100…
…0110100111010000
310102212100021021112
41033123012213100
510212110130130
6340120112452
745010051226
oct11733064720
93385307245
101332505040
11624189839
12312305728
131830a9229
14c8d82b16
157beb1495
hex4f6c69d0

1332505040 has 40 divisors (see below), whose sum is σ = 3125512008. Its totient is φ = 528281600.

The previous prime is 1332504983. The next prime is 1332505049. The reversal of 1332505040 is 405052331.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 1330206784 = 1516^2 + 36472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1332504997 and 1332505015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332505049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64661 + ... + 82740.

Almost surely, 21332505040 is an apocalyptic number.

1332505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332505040 is an abundant number, since it is smaller than the sum of its proper divisors (1793006968).

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

1332505040 is a wasteful number, since it uses less digits than its factorization.

1332505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147527 (or 147521 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1332505040 is about 36503.4935314416. The cubic root of 1332505040 is about 1100.4144553931.

Adding to 1332505040 its reverse (405052331), we get a palindrome (1737557371).

The spelling of 1332505040 in words is "one billion, three hundred thirty-two million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 147401 294802 589604 737005 1179208 1474010 2358416 2948020 5896040 11792080 16656313 33312626 66625252 83281565 133250504 166563130 266501008 333126260 666252520 1332505040