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1378695240 = 23325132173143
BaseRepresentation
bin101001000101101…
…0011100001001000
310120002020222022200
41102023103201020
510310421221430
6344450120200
746110500436
oct12213234110
93502228280
101378695240
1164826815a
12325880060
1318c82c500
14d1167d56
1581087460
hex522d3848

1378695240 has 576 divisors, whose sum is σ = 5426403840. Its totient is φ = 301916160.

The previous prime is 1378695229. The next prime is 1378695277. The reversal of 1378695240 is 425968731.

1378695240 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).

1378695240 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32062659 + ... + 32062701.

It is an arithmetic number, because the mean of its divisors is an integer number (9420840).

It is a 1-persistent number, because it is pandigital, but 2⋅1378695240 = 2757390480 is not.

Almost surely, 21378695240 is an apocalyptic number.

1378695240 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 1378695240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713201920).

1378695240 is an abundant number, since it is smaller than the sum of its proper divisors (4047708600).

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

1378695240 is a wasteful number, since it uses less digits than its factorization.

1378695240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

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

The square root of 1378695240 is about 37130.7856097875. The cubic root of 1378695240 is about 1112.9852924631.

The spelling of 1378695240 in words is "one billion, three hundred seventy-eight million, six hundred ninety-five thousand, two hundred forty".