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1045014320 = 24572338009
BaseRepresentation
bin111110010010011…
…010011100110000
32200211101020011002
4332102122130300
54120010424240
6251410141132
734616321660
oct7622323460
92624336132
101045014320
114969797a9
12251b817a8
1313866b18c
149cb081a0
1561b23d15
hex3e49a730

1045014320 has 80 divisors (see below), whose sum is σ = 2789017920. Its totient is φ = 356708352.

The previous prime is 1045014317. The next prime is 1045014367. The reversal of 1045014320 is 234105401.

1045014320 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1045014292 and 1045014301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126476 + ... + 134484.

It is an arithmetic number, because the mean of its divisors is an integer number (34862724).

Almost surely, 21045014320 is an apocalyptic number.

1045014320 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 1045014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394508960).

1045014320 is an abundant number, since it is smaller than the sum of its proper divisors (1744003600).

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

1045014320 is a wasteful number, since it uses less digits than its factorization.

1045014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1045014320 is about 32326.6812401150. The cubic root of 1045014320 is about 1014.7850969066.

Adding to 1045014320 its reverse (234105401), we get a palindrome (1279119721).

The spelling of 1045014320 in words is "one billion, forty-five million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 233 280 466 560 932 1165 1631 1864 2330 3262 3728 4660 6524 8009 8155 9320 13048 16018 16310 18640 26096 32036 32620 40045 56063 64072 65240 80090 112126 128144 130480 160180 224252 280315 320360 448504 560630 640720 897008 1121260 1866097 2242520 3732194 4485040 7464388 9330485 13062679 14928776 18660970 26125358 29857552 37321940 52250716 65313395 74643880 104501432 130626790 149287760 209002864 261253580 522507160 1045014320