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1403738112 = 21137127257
BaseRepresentation
bin101001110101011…
…0101100000000000
310121211101021200110
41103222311200000
510333324104422
6351142551320
746533401640
oct12352654000
93554337613
101403738112
11660412247
12332138540
13194a8a08a
14d4606520
158338260c
hex53ab5800

1403738112 has 192 divisors, whose sum is σ = 4327464960. Its totient is φ = 396361728.

The previous prime is 1403738111. The next prime is 1403738113. The reversal of 1403738112 is 2118373041.

It is an interprime number because it is at equal distance from previous prime (1403738111) and next prime (1403738113).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1403738112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403738111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461888 + ... + 5462144.

It is an arithmetic number, because the mean of its divisors is an integer number (22538880).

Almost surely, 21403738112 is an apocalyptic number.

1403738112 is a gapful number since it is divisible by the number (12) 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 1403738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163732480).

1403738112 is an abundant number, since it is smaller than the sum of its proper divisors (2923726848).

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

1403738112 is a wasteful number, since it uses less digits than its factorization.

1403738112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1403738112 is about 37466.4931905830. The cubic root of 1403738112 is about 1119.6837202171.

The spelling of 1403738112 in words is "one billion, four hundred three million, seven hundred thirty-eight thousand, one hundred twelve".