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1388998260 = 223351317103113
BaseRepresentation
bin101001011001010…
…0110111001110100
310120210122102102000
41102302212321310
510321040421020
6345455015300
746264201416
oct12262467164
93523572360
101388998260
11653064a51
1232920a530
131919c8c80
14d268a9b6
1581e20090
hex52ca6e74

1388998260 has 384 divisors, whose sum is σ = 5019356160. Its totient is φ = 315850752.

The previous prime is 1388998253. The next prime is 1388998279. The reversal of 1388998260 is 628998831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1388998197 and 1388998206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12291964 + ... + 12292076.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 21388998260 is an apocalyptic number.

1388998260 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 1388998260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1388998260 is an abundant number, since it is smaller than the sum of its proper divisors (3630357900).

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

1388998260 is a wasteful number, since it uses less digits than its factorization.

1388998260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1388998260 is about 37269.2669635452. The cubic root of 1388998260 is about 1115.7508693518.

The spelling of 1388998260 in words is "one billion, three hundred eighty-eight million, nine hundred ninety-eight thousand, two hundred sixty".