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1125606360 = 2335193831289
BaseRepresentation
bin100001100010111…
…0110001111011000
32220110000201122110
41003011312033120
54301123400420
6303405352320
736615332124
oct10305661730
92813021573
101125606360
1152841479a
12274b686a0
1314c277b88
14a96c6584
1568c42ee0
hex431763d8

1125606360 has 128 divisors (see below), whose sum is σ = 3566592000. Its totient is φ = 283401216.

The previous prime is 1125606323. The next prime is 1125606367. The reversal of 1125606360 is 636065211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125606367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872596 + ... + 873884.

It is an arithmetic number, because the mean of its divisors is an integer number (27864000).

Almost surely, 21125606360 is an apocalyptic number.

1125606360 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 1125606360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783296000).

1125606360 is an abundant number, since it is smaller than the sum of its proper divisors (2440985640).

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

1125606360 is a wasteful number, since it uses less digits than its factorization.

1125606360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1125606360 is about 33550.0575260312. The cubic root of 1125606360 is about 1040.2287342060.

The spelling of 1125606360 in words is "one billion, one hundred twenty-five million, six hundred six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 383 456 570 760 766 1140 1149 1289 1532 1915 2280 2298 2578 3064 3830 3867 4596 5156 5745 6445 7277 7660 7734 9192 10312 11490 12890 14554 15320 15468 19335 21831 22980 24491 25780 29108 30936 36385 38670 43662 45960 48982 51560 58216 72770 73473 77340 87324 97964 109155 122455 145540 146946 154680 174648 195928 218310 244910 291080 293892 367365 436620 489820 493687 587784 734730 873240 979640 987374 1469460 1481061 1974748 2468435 2938920 2962122 3949496 4936870 5924244 7405305 9380053 9873740 11848488 14810610 18760106 19747480 28140159 29621220 37520212 46900265 56280318 59242440 75040424 93800530 112560636 140700795 187601060 225121272 281401590 375202120 562803180 1125606360