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1396071936 = 293572229
BaseRepresentation
bin101001100110110…
…0101111000000000
310121021221210200000
41103031211320000
510324343300221
6350310400000
746411262400
oct12315457000
93537853600
101396071936
11657056566
1232b660000
1319330488c
14d35ac800
158286ae26
hex53365e00

1396071936 has 360 divisors, whose sum is σ = 4881796920. Its totient is φ = 397135872.

The previous prime is 1396071931. The next prime is 1396071959. The reversal of 1396071936 is 6391706931.

1396071936 is a `hidden beast` number, since 1 + 3 + 9 + 607 + 1 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1396071891 and 1396071900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396071931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096270 + ... + 6096498.

It is an arithmetic number, because the mean of its divisors is an integer number (13560547).

Almost surely, 21396071936 is an apocalyptic number.

1396071936 is a gapful number since it is divisible by the number (16) 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 1396071936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440898460).

1396071936 is an abundant number, since it is smaller than the sum of its proper divisors (3485724984).

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

1396071936 is an frugal number, since it uses more digits than its factorization.

1396071936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1396071936 is about 37364.0460335869. The cubic root of 1396071936 is about 1117.6417044754.

The spelling of 1396071936 in words is "one billion, three hundred ninety-six million, seventy-one thousand, nine hundred thirty-six".