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1381302720 = 26345723331
BaseRepresentation
bin101001001010101…
…0000000111000000
310120021011110010000
41102111100013000
510312103141340
6345022040000
746141610430
oct12225200700
93507143100
101381302720
116497891a6
12326719000
131902332b5
14d16462c0
15813eed30
hex525501c0

1381302720 has 560 divisors, whose sum is σ = 5877324288. Its totient is φ = 301086720.

The previous prime is 1381302709. The next prime is 1381302721. The reversal of 1381302720 is 272031831.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381302721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4172955 + ... + 4173285.

Almost surely, 21381302720 is an apocalyptic number.

1381302720 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 1381302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938662144).

1381302720 is an abundant number, since it is smaller than the sum of its proper divisors (4496021568).

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

1381302720 is a wasteful number, since it uses less digits than its factorization.

1381302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1381302720 is about 37165.8811277225. The cubic root of 1381302720 is about 1113.6865011582.

The spelling of 1381302720 in words is "one billion, three hundred eighty-one million, three hundred two thousand, seven hundred twenty".