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1366530048 = 21133131901
BaseRepresentation
bin101000101110011…
…1001100000000000
310112020100220211000
41101130321200000
510244312430143
6343333252000
745602212422
oct12134714000
93466326730
101366530048
11641409284
12321794000
1318a160280
14cd6bc812
157ee82bd3
hex51739800

1366530048 has 192 divisors, whose sum is σ = 4361666400. Its totient is φ = 420249600.

The previous prime is 1366530047. The next prime is 1366530049. The reversal of 1366530048 is 8400356631.

It is an interprime number because it is at equal distance from previous prime (1366530047) and next prime (1366530049).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1366529994 and 1366530021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366530043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717898 + ... + 719798.

Almost surely, 21366530048 is an apocalyptic number.

1366530048 is a gapful number since it is divisible by the number (18) 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 1366530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180833200).

1366530048 is an abundant number, since it is smaller than the sum of its proper divisors (2995136352).

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

1366530048 is a wasteful number, since it uses less digits than its factorization.

1366530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1366530048 is about 36966.6072016354. The cubic root of 1366530048 is about 1109.7020675928.

Adding to 1366530048 its reverse (8400356631), we get a palindrome (9766886679).

The spelling of 1366530048 in words is "one billion, three hundred sixty-six million, five hundred thirty thousand, forty-eight".