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1125606132 = 22357198707
BaseRepresentation
bin100001100010111…
…0110001011110100
32220110000201100000
41003011312023310
54301123344012
6303405351300
736615331350
oct10305661364
92813021300
101125606132
11528414602
12274b68530
1314c277a41
14a96c6460
1568c42ddc
hex431762f4

1125606132 has 144 divisors (see below), whose sum is σ = 3550077440. Its totient is φ = 304640352.

The previous prime is 1125606127. The next prime is 1125606133. The reversal of 1125606132 is 2316065211.

1125606132 is a `hidden beast` number, since 1 + 1 + 25 + 606 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1125606096 and 1125606105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125606133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124923 + ... + 133629.

Almost surely, 21125606132 is an apocalyptic number.

1125606132 is a gapful number since it is divisible by the number (12) 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 1125606132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775038720).

1125606132 is an abundant number, since it is smaller than the sum of its proper divisors (2424471308).

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

1125606132 is a wasteful number, since it uses less digits than its factorization.

1125606132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1125606132 is about 33550.0541281233. The cubic root of 1125606132 is about 1040.2286639706.

The spelling of 1125606132 in words is "one billion, one hundred twenty-five million, six hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 513 532 567 684 756 798 972 1026 1134 1197 1539 1596 1701 2052 2268 2394 3078 3402 3591 4617 4788 6156 6804 7182 8707 9234 10773 14364 17414 18468 21546 26121 32319 34828 43092 52242 60949 64638 78363 104484 121898 129276 156726 165433 182847 235089 243796 313452 330866 365694 470178 496299 548541 661732 705267 731388 940356 992598 1097082 1158031 1410534 1488897 1645623 1985196 2115801 2194164 2316062 2821068 2977794 3291246 3474093 4231602 4466691 4632124 4936869 5955588 6582492 6948186 8463204 8933382 9873738 10422279 13400073 13896372 14810607 17866764 19747476 20844558 26800146 29621214 31266837 40200219 41689116 53600292 59242428 62533674 80400438 93800511 125067348 160800876 187601022 281401533 375202044 562803066 1125606132