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1080525120 = 26358271361
BaseRepresentation
bin100000001100111…
…1000000101000000
32210022012100210220
41000121320011000
54203103300440
6255115223040
735530212003
oct10031700500
92708170726
101080525120
11504a23574
12261a47a80
13142b2259c
14a370d53a
1564cda8d0
hex40678140

1080525120 has 112 divisors (see below), whose sum is σ = 3437339328. Its totient is φ = 287580160.

The previous prime is 1080525109. The next prime is 1080525137. The reversal of 1080525120 is 215250801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 793240 + ... + 794600.

Almost surely, 21080525120 is an apocalyptic number.

1080525120 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 1080525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718669664).

1080525120 is an abundant number, since it is smaller than the sum of its proper divisors (2356814208).

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

1080525120 is a wasteful number, since it uses less digits than its factorization.

1080525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1080525120 is about 32871.3419257565. The cubic root of 1080525120 is about 1026.1518267236.

Adding to 1080525120 its reverse (215250801), we get a palindrome (1295775921).

The spelling of 1080525120 in words is "one billion, eighty million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 827 960 1361 1654 2481 2722 3308 4083 4135 4962 5444 6616 6805 8166 8270 9924 10888 12405 13232 13610 16332 16540 19848 20415 21776 24810 26464 27220 32664 33080 39696 40830 43552 49620 52928 54440 65328 66160 79392 81660 87104 99240 108880 130656 132320 158784 163320 198480 217760 261312 264640 326640 396960 435520 653280 793920 1125547 1306560 2251094 3376641 4502188 5627735 6753282 9004376 11255470 13506564 16883205 18008752 22510940 27013128 33766410 36017504 45021880 54026256 67532820 72035008 90043760 108052512 135065640 180087520 216105024 270131280 360175040 540262560 1080525120