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1075228080 = 243534712911
BaseRepresentation
bin100000000010110…
…1010110110110000
32202221020020122020
41000011222312300
54200224244310
6254405511440
735434200513
oct10005526660
92687206566
101075228080
11501a35853
12260112580
131419b9544
14a2b30d7a
15645e1170
hex4016adb0

1075228080 has 80 divisors (see below), whose sum is σ = 3343071744. Its totient is φ = 285879040.

The previous prime is 1075228079. The next prime is 1075228093. The reversal of 1075228080 is 808225701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10752280802 = 2312230848040972800, which contains 22 as substring.

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, 76825 + ... + 89735.

Almost surely, 21075228080 is an apocalyptic number.

1075228080 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 1075228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671535872).

1075228080 is an abundant number, since it is smaller than the sum of its proper divisors (2267843664).

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

1075228080 is a wasteful number, since it uses less digits than its factorization.

1075228080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 1075228080 is about 32790.6706244322. The cubic root of 1075228080 is about 1024.4722502315.

The spelling of 1075228080 in words is "one billion, seventy-five million, two hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1388 1735 2082 2776 3470 4164 5205 5552 6940 8328 10410 12911 13880 16656 20820 25822 27760 38733 41640 51644 64555 77466 83280 103288 129110 154932 193665 206576 258220 309864 387330 516440 619728 774660 1032880 1549320 3098640 4480117 8960234 13440351 17920468 22400585 26880702 35840936 44801170 53761404 67201755 71681872 89602340 107522808 134403510 179204680 215045616 268807020 358409360 537614040 1075228080