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1393745940 = 22365109877
BaseRepresentation
bin101001100010010…
…1110000000010100
310121010120122000000
41103010232000110
510323244332230
6350144451300
746352434146
oct12304560024
93533518000
101393745940
11655807a54
1232a919b30
1319299bc52
14d3164c96
158255bb60
hex5312e014

1393745940 has 168 divisors, whose sum is σ = 4433601480. Its totient is φ = 367835904.

The previous prime is 1393745939. The next prime is 1393745953. The reversal of 1393745940 is 495473931.

It can be written as a sum of positive squares in 4 ways, for example, as 459587844 + 934158096 = 21438^2 + 30564^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1588782 + ... + 1589658.

It is an arithmetic number, because the mean of its divisors is an integer number (26390485).

Almost surely, 21393745940 is an apocalyptic number.

1393745940 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 1393745940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216800740).

1393745940 is an abundant number, since it is smaller than the sum of its proper divisors (3039855540).

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

1393745940 is a wasteful number, since it uses less digits than its factorization.

1393745940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1393745940 is about 37332.9069320887. The cubic root of 1393745940 is about 1117.0206583451.

The spelling of 1393745940 in words is "one billion, three hundred ninety-three million, seven hundred forty-five thousand, nine hundred forty".