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1045853214 = 237193373889
BaseRepresentation
bin111110010101100…
…111010000011110
32200212221211220020
4332111213100132
54120214300324
6251440133010
734626414510
oct7625472036
92625854806
101045853214
114973a1aaa
12252307166
131388a2c73
149cc85bb0
1561c3c679
hex3e56741e

1045853214 has 64 divisors (see below), whose sum is σ = 2524454400. Its totient is φ = 282175488.

The previous prime is 1045853213. The next prime is 1045853239. The reversal of 1045853214 is 4123585401.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045853213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266982 + ... + 270870.

It is an arithmetic number, because the mean of its divisors is an integer number (39444600).

Almost surely, 21045853214 is an apocalyptic number.

1045853214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045853214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262227200).

1045853214 is an abundant number, since it is smaller than the sum of its proper divisors (1478601186).

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

1045853214 is a wasteful number, since it uses less digits than its factorization.

1045853214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1045853214 is about 32339.6538942519. The cubic root of 1045853214 is about 1015.0565666906.

The spelling of 1045853214 in words is "one billion, forty-five million, eight hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 337 399 674 798 1011 2022 2359 3889 4718 6403 7077 7778 11667 12806 14154 19209 23334 27223 38418 44821 54446 73891 81669 89642 134463 147782 163338 221673 268926 443346 517237 1034474 1310593 1551711 2621186 3103422 3931779 7863558 9174151 18348302 24901267 27522453 49802534 55044906 74703801 149407602 174308869 348617738 522926607 1045853214