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1045240000 = 265473733
BaseRepresentation
bin111110010011010…
…001100011000000
32200211210200201121
4332103101203000
54120040140000
6251415042024
734621251640
oct7623214300
92624720647
101045240000
11497013312
12252070314
13138719b0c
149cb66520
1561b6ab1a
hex3e4d18c0

1045240000 has 140 divisors (see below), whose sum is σ = 2962914064. Its totient is φ = 358272000.

The previous prime is 1045239997. The next prime is 1045240013. The reversal of 1045240000 is 425401.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278134 + ... + 281866.

Almost surely, 21045240000 is an apocalyptic number.

1045240000 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 1045240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481457032).

1045240000 is an abundant number, since it is smaller than the sum of its proper divisors (1917674064).

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

1045240000 is an frugal number, since it uses more digits than its factorization.

1045240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1045240000 is about 32330.1716667264. The cubic root of 1045240000 is about 1014.8581422267.

Adding to 1045240000 its reverse (425401), we get a palindrome (1045665401).

The spelling of 1045240000 in words is "one billion, forty-five million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 3733 4000 4375 5000 5600 7000 7466 8000 8750 10000 11200 14000 14932 17500 18665 20000 26131 28000 29864 35000 37330 40000 52262 56000 59728 70000 74660 93325 104524 119456 130655 140000 149320 186650 209048 238912 261310 280000 298640 373300 418096 466625 522620 597280 653275 746600 836192 933250 1045240 1194560 1306550 1493200 1672384 1866500 2090480 2333125 2613100 2986400 3266375 3733000 4180960 4666250 5226200 5972800 6532750 7466000 8361920 9332500 10452400 13065500 14932000 16331875 18665000 20904800 26131000 29864000 32663750 37330000 41809600 52262000 65327500 74660000 104524000 130655000 149320000 209048000 261310000 522620000 1045240000