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1366880400 = 243352671889
BaseRepresentation
bin101000101111000…
…1111000010010000
310112021000201102000
41101132033002100
510244410133100
6343344554000
745605202024
oct12136170220
93467021360
101366880400
11641628526
12321922900
1318a253892
14cd770384
1580001900
hex5178f090

1366880400 has 240 divisors, whose sum is σ = 4940308800. Its totient is φ = 358871040.

The previous prime is 1366880399. The next prime is 1366880401. The reversal of 1366880400 is 40886631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1366880399) and next prime (1366880401).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1366880401) 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 47 ways as a sum of consecutive naturals, for example, 722656 + ... + 724544.

It is an arithmetic number, because the mean of its divisors is an integer number (20584620).

Almost surely, 21366880400 is an apocalyptic number.

1366880400 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 1366880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470154400).

1366880400 is an abundant number, since it is smaller than the sum of its proper divisors (3573428400).

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

1366880400 is a wasteful number, since it uses less digits than its factorization.

1366880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1366880400 is about 36971.3456612009. The cubic root of 1366880400 is about 1109.7968949058.

The spelling of 1366880400 in words is "one billion, three hundred sixty-six million, eight hundred eighty thousand, four hundred".