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1327420248 = 23371117293147
BaseRepresentation
bin100111100011110…
…1101001101011000
310102111202221020220
41033013231031120
510204304421443
6335415120040
744615612610
oct11707551530
93374687226
101327420248
11621326530
12310673020
1318201898b
14c841ba40
157b809a83
hex4f1ed358

1327420248 has 512 divisors, whose sum is σ = 4777574400. Its totient is φ = 296755200.

The previous prime is 1327420243. The next prime is 1327420253. The reversal of 1327420248 is 8420247231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1327420243) and next prime (1327420253).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327420243) 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 127 ways as a sum of consecutive naturals, for example, 28242961 + ... + 28243007.

It is an arithmetic number, because the mean of its divisors is an integer number (9331200).

Almost surely, 21327420248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327420248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388787200).

1327420248 is an abundant number, since it is smaller than the sum of its proper divisors (3450154152).

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

1327420248 is a wasteful number, since it uses less digits than its factorization.

1327420248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1327420248 is about 36433.7789420752. The cubic root of 1327420248 is about 1099.0129570038.

Adding to 1327420248 its reverse (8420247231), we get a palindrome (9747667479).

The spelling of 1327420248 in words is "one billion, three hundred twenty-seven million, four hundred twenty thousand, two hundred forty-eight".