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1396103040 = 2735547191
BaseRepresentation
bin101001100110110…
…1101011110000000
310121022000101100000
41103031231132000
510324400244130
6350311200000
746411452153
oct12315553600
93538011300
101396103040
11657077972
1232b676000
13193315a97
14d35b9c9a
1582875260
hex5336d780

1396103040 has 384 divisors, whose sum is σ = 5132574720. Its totient is φ = 362465280.

The previous prime is 1396102997. The next prime is 1396103041. The reversal of 1396103040 is 403016931.

1396103040 is a `hidden beast` number, since 1 + 3 + 9 + 610 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1396102995 and 1396103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396103041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7309345 + ... + 7309535.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 21396103040 is an apocalyptic number.

1396103040 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 1396103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566287360).

1396103040 is an abundant number, since it is smaller than the sum of its proper divisors (3736471680).

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

1396103040 is an equidigital number, since it uses as much as digits as its factorization.

1396103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1396103040 is about 37364.4622602815. The cubic root of 1396103040 is about 1117.6500046373.

Adding to 1396103040 its reverse (403016931), we get a palindrome (1799119971).

The spelling of 1396103040 in words is "one billion, three hundred ninety-six million, one hundred three thousand, forty".