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1388423520 = 25325112337103
BaseRepresentation
bin101001011000001…
…1010100101100000
310120202120020000100
41102300122211200
510320414023040
6345434422400
746256255661
oct12260324540
93522506010
101388423520
11652802160
12328b91a00
131918574a3
14d257b368
1581d59b30
hex52c1a960

1388423520 has 576 divisors, whose sum is σ = 5592996864. Its totient is φ = 310210560.

The previous prime is 1388423489. The next prime is 1388423521. The reversal of 1388423520 is 253248831.

1388423520 is a `hidden beast` number, since 1 + 38 + 84 + 23 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388423521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13479789 + ... + 13479891.

It is an arithmetic number, because the mean of its divisors is an integer number (9710064).

Almost surely, 21388423520 is an apocalyptic number.

1388423520 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 1388423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796498432).

1388423520 is an abundant number, since it is smaller than the sum of its proper divisors (4204573344).

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

1388423520 is a wasteful number, since it uses less digits than its factorization.

1388423520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1388423520 is about 37261.5555230857. Note that the first 4 decimals coincide. The cubic root of 1388423520 is about 1115.5969562425.

The spelling of 1388423520 in words is "one billion, three hundred eighty-eight million, four hundred twenty-three thousand, five hundred twenty".