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1125112560 = 2435111332783
BaseRepresentation
bin100001100001111…
…1101101011110000
32220102002122021120
41003003331223300
54301012100220
6303351022240
736611204355
oct10303755360
92812078246
101125112560
115281077a0
1227496a980
1314c1341a0
14a95d862c
1568b96a40
hex430fdaf0

1125112560 has 160 divisors (see below), whose sum is σ = 4097737728. Its totient is φ = 251765760.

The previous prime is 1125112537. The next prime is 1125112577. The reversal of 1125112560 is 652115211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1125112560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17929 + ... + 50711.

Almost surely, 21125112560 is an apocalyptic number.

1125112560 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 1125112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048868864).

1125112560 is an abundant number, since it is smaller than the sum of its proper divisors (2972625168).

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

1125112560 is a wasteful number, since it uses less digits than its factorization.

1125112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32823 (or 32817 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1125112560 is about 33542.6975659383. The cubic root of 1125112560 is about 1040.0765969225.

Adding to 1125112560 its reverse (652115211), we get a palindrome (1777227771).

The spelling of 1125112560 in words is "one billion, one hundred twenty-five million, one hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 32783 34320 65566 98349 131132 163915 196698 262264 327830 360613 393396 426179 491745 524528 655660 721226 786792 852358 983490 1081839 1278537 1311320 1442452 1573584 1704716 1803065 1966980 2130895 2163678 2557074 2622640 2884904 3409432 3606130 3933960 4261790 4327356 4687969 5114148 5409195 5769808 6392685 6818864 7212260 7867920 8523580 8654712 9375938 10228296 10818390 12785370 14063907 14424520 17047160 17309424 18751876 20456592 21636780 23439845 25570740 28127814 28849040 34094320 37503752 43273560 46879690 51141480 56255628 70319535 75007504 86547120 93759380 102282960 112511256 140639070 187518760 225022512 281278140 375037520 562556280 1125112560