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1393705440 = 25345313469
BaseRepresentation
bin101001100010010…
…0100000111100000
310121010111120110000
41103010210013200
510323242033230
6350143540000
746352205111
oct12304440740
93533446400
101393705440
1165578a586
1232a8ba600
1319298669a
14d3154208
158254eb60
hex531241e0

1393705440 has 240 divisors, whose sum is σ = 5078747520. Its totient is φ = 359562240.

The previous prime is 1393705349. The next prime is 1393705477. The reversal of 1393705440 is 445073931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1393705395 and 1393705404.

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 39 ways as a sum of consecutive naturals, for example, 400026 + ... + 403494.

It is an arithmetic number, because the mean of its divisors is an integer number (21161448).

Almost surely, 21393705440 is an apocalyptic number.

1393705440 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 1393705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539373760).

1393705440 is an abundant number, since it is smaller than the sum of its proper divisors (3685042080).

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

1393705440 is a wasteful number, since it uses less digits than its factorization.

1393705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1393705440 is about 37332.3645112388. The cubic root of 1393705440 is about 1117.0098386365.

The spelling of 1393705440 in words is "one billion, three hundred ninety-three million, seven hundred five thousand, four hundred forty".