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1041505140 = 22351319312267
BaseRepresentation
bin111110000101000…
…001101101110100
32200120202221110110
4332011001231310
54113111131030
6251203023020
734544435064
oct7605015564
92616687413
101041505140
114949a2255
1225096aa70
13137a0cb40
149c4733a4
156167e1b0
hex3e141b74

1041505140 has 192 divisors, whose sum is σ = 3413975040. Its totient is φ = 234938880.

The previous prime is 1041505139. The next prime is 1041505141. The reversal of 1041505140 is 415051401.

1041505140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1041505139) and next prime (1041505141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041505141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458287 + ... + 460553.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 21041505140 is an apocalyptic number.

1041505140 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 1041505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706987520).

1041505140 is an abundant number, since it is smaller than the sum of its proper divisors (2372469900).

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

1041505140 is a wasteful number, since it uses less digits than its factorization.

1041505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1041505140 is about 32272.3587610202. The cubic root of 1041505140 is about 1013.6479332036.

Adding to 1041505140 its reverse (415051401), we get a palindrome (1456556541).

The spelling of 1041505140 in words is "one billion, forty-one million, five hundred five thousand, one hundred forty".