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1366945248 = 253173141659
BaseRepresentation
bin101000101111001…
…1110110111100000
310112021011000100210
41101132132313200
510244414221443
6343350214120
745605562054
oct12136366740
93467130323
101366945248
11641672219
12321954340
1318a277256
14cd789c64
1580015c33
hex5179ede0

1366945248 has 192 divisors, whose sum is σ = 4023613440. Its totient is φ = 404275200.

The previous prime is 1366945219. The next prime is 1366945249. The reversal of 1366945248 is 8425496631.

It is a super-2 number, since 2×13669452482 = 3737078622059563008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1366945197 and 1366945206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366945249) 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 31 ways as a sum of consecutive naturals, for example, 2073943 + ... + 2074601.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 21366945248 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 1366945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1366945248 is an abundant number, since it is smaller than the sum of its proper divisors (2656668192).

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

1366945248 is a wasteful number, since it uses less digits than its factorization.

1366945248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 1366945248 is about 36972.2226543117. Note that the first 3 decimals coincide. The cubic root of 1366945248 is about 1109.8144450809.

The spelling of 1366945248 in words is "one billion, three hundred sixty-six million, nine hundred forty-five thousand, two hundred forty-eight".