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1386127680 = 26357279373
BaseRepresentation
bin101001010011110…
…1010000101000000
310120121020120201020
41102213222011000
510314322041210
6345313305440
746230614400
oct12247520500
93517216636
101386127680
11651484273
12328265280
131912324c2
14d2140800
1581a54770
hex529ea140

1386127680 has 336 divisors, whose sum is σ = 5198181120. Its totient is φ = 311980032.

The previous prime is 1386127669. The next prime is 1386127681. The reversal of 1386127680 is 867216831.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386127681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3715974 + ... + 3716346.

Almost surely, 21386127680 is an apocalyptic number.

1386127680 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 1386127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599090560).

1386127680 is an abundant number, since it is smaller than the sum of its proper divisors (3812053440).

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

1386127680 is a wasteful number, since it uses less digits than its factorization.

1386127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1386127680 is about 37230.7356897497. The cubic root of 1386127680 is about 1114.9817152652.

The spelling of 1386127680 in words is "one billion, three hundred eighty-six million, one hundred twenty-seven thousand, six hundred eighty".