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1332080640 = 2123451173
BaseRepresentation
bin100111101100101…
…1111000000000000
310102211112201010000
41033121133000000
510212003040030
6340103040000
745003333012
oct11731370000
93384481100
101332080640
11623a199a0
12312140000
13182c8acc7
14c8cb21b2
157be2a860
hex4f65f000

1332080640 has 520 divisors, whose sum is σ = 5280639408. Its totient is φ = 318504960.

The previous prime is 1332080621. The next prime is 1332080647. The reversal of 1332080640 is 460802331.

It is a happy number.

1332080640 is a `hidden beast` number, since 13 + 3 + 2 + 0 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332080647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247644 + ... + 18247716.

Almost surely, 21332080640 is an apocalyptic number.

1332080640 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 1332080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640319704).

1332080640 is an abundant number, since it is smaller than the sum of its proper divisors (3948558768).

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

1332080640 is an equidigital number, since it uses as much as digits as its factorization.

1332080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1332080640 is about 36497.6799262638. The cubic root of 1332080640 is about 1100.2976164392.

Adding to 1332080640 its reverse (460802331), we get a palindrome (1792882971).

The spelling of 1332080640 in words is "one billion, three hundred thirty-two million, eighty thousand, six hundred forty".