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1045020032 = 2777116427
BaseRepresentation
bin111110010010011…
…011110110000000
32200211101111222122
4332102123312000
54120011120112
6251410223412
734616344430
oct7622336600
92624344878
101045020032
11496983021
12251b84b68
13138670964
149cb0a2c0
1561b25872
hex3e49bd80

1045020032 has 64 divisors (see below), whose sum is σ = 2412944640. Its totient is φ = 441530880.

The previous prime is 1045019999. The next prime is 1045020047. The reversal of 1045020032 is 2300205401.

1045020032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55403 + ... + 71829.

It is an arithmetic number, because the mean of its divisors is an integer number (37702260).

Almost surely, 21045020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206472320).

1045020032 is an abundant number, since it is smaller than the sum of its proper divisors (1367924608).

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

1045020032 is an equidigital number, since it uses as much as digits as its factorization.

1045020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16519 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1045020032 is about 32326.7695880674. The cubic root of 1045020032 is about 1014.7869458260.

Adding to 1045020032 its reverse (2300205401), we get a palindrome (3345225433).

The spelling of 1045020032 in words is "one billion, forty-five million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1988 2272 3976 4544 7952 9088 15904 16427 31808 32854 63616 65708 114989 131416 229978 262832 459956 525664 919912 1051328 1166317 1839824 2102656 2332634 3679648 4665268 7359296 8164219 9330536 14718592 16328438 18661072 32656876 37322144 65313752 74644288 130627504 149288576 261255008 522510016 1045020032