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1045354140 = 2233517234951
BaseRepresentation
bin111110010011101…
…101011010011100
32200212000111022000
4332103231122130
54120102313030
6251421322300
734622235465
oct7623553234
92625014260
101045354140
11497091046
12252106390
13138759a5c
149cb95d6c
1561b8e860
hex3e4ed69c

1045354140 has 192 divisors, whose sum is σ = 3593963520. Its totient is φ = 250905600.

The previous prime is 1045354127. The next prime is 1045354171. The reversal of 1045354140 is 414535401.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208665 + ... + 213615.

It is an arithmetic number, because the mean of its divisors is an integer number (18718560).

Almost surely, 21045354140 is an apocalyptic number.

1045354140 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 1045354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796981760).

1045354140 is an abundant number, since it is smaller than the sum of its proper divisors (2548609380).

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

1045354140 is a wasteful number, since it uses less digits than its factorization.

1045354140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1045354140 is about 32331.9368426947. The cubic root of 1045354140 is about 1014.8950816512.

Adding to 1045354140 its reverse (414535401), we get a palindrome (1459889541).

The spelling of 1045354140 in words is "one billion, forty-five million, three hundred fifty-four thousand, one hundred forty".