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1397658240 = 27355111943
BaseRepresentation
bin101001101001110…
…1001001010000000
310121101221101200000
41103103221022000
510330300030430
6350404400000
746430620236
oct12323511200
93541841600
101397658240
11657a3a360
123300a6000
1319373b914
14d38a2956
1582a80e60
hex534e9280

1397658240 has 768 divisors, whose sum is σ = 5881075200. Its totient is φ = 313528320.

The previous prime is 1397658187. The next prime is 1397658287. The reversal of 1397658240 is 428567931.

1397658240 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

1397658240 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32503659 + ... + 32503701.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1397658240 = 2795316480, but 3⋅1397658240 = 4192974720 is not.

Almost surely, 21397658240 is an apocalyptic number.

1397658240 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 1397658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940537600).

1397658240 is an abundant number, since it is smaller than the sum of its proper divisors (4483416960).

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

1397658240 is a wasteful number, since it uses less digits than its factorization.

1397658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1397658240 is about 37385.2676866169. The cubic root of 1397658240 is about 1118.0648556477.

The spelling of 1397658240 in words is "one billion, three hundred ninety-seven million, six hundred fifty-eight thousand, two hundred forty".