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1052240000 = 275471879
BaseRepresentation
bin111110101101111…
…110100010000000
32201022222022220212
4332231332202000
54123333140000
6252225053252
735034615050
oct7655764200
92638868825
101052240000
1149aa64539
12254487228
13139ccb026
149da69560
156259ec35
hex3eb7e880

1052240000 has 160 divisors (see below), whose sum is σ = 2995291200. Its totient is φ = 360576000.

The previous prime is 1052239999. The next prime is 1052240011. The reversal of 1052240000 is 422501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10522400002 = 2214418035200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559061 + ... + 560939.

It is an arithmetic number, because the mean of its divisors is an integer number (18720570).

Almost surely, 21052240000 is an apocalyptic number.

1052240000 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 1052240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497645600).

1052240000 is an abundant number, since it is smaller than the sum of its proper divisors (1943051200).

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

1052240000 is an frugal number, since it uses more digits than its factorization.

1052240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1052240000 is about 32438.2490279608. The cubic root of 1052240000 is about 1017.1186141955.

Adding to 1052240000 its reverse (422501), we get a palindrome (1052662501).

The spelling of 1052240000 in words is "one billion, fifty-two 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 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 1879 2000 2240 2500 2800 3200 3500 3758 4000 4375 4480 5000 5600 7000 7516 8000 8750 9395 10000 11200 13153 14000 15032 16000 17500 18790 20000 22400 26306 28000 30064 35000 37580 40000 46975 52612 56000 60128 65765 70000 75160 80000 93950 105224 112000 120256 131530 140000 150320 187900 210448 234875 240512 263060 280000 300640 328825 375800 420896 469750 526120 560000 601280 657650 751600 841792 939500 1052240 1174375 1202560 1315300 1503200 1644125 1683584 1879000 2104480 2348750 2630600 3006400 3288250 3758000 4208960 4697500 5261200 6012800 6576500 7516000 8220625 8417920 9395000 10522400 13153000 15032000 16441250 18790000 21044800 26306000 30064000 32882500 37580000 42089600 52612000 65765000 75160000 105224000 131530000 150320000 210448000 263060000 526120000 1052240000