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1125118632 = 233117379739
BaseRepresentation
bin100001100001111…
…1111001010101000
32220102002221121110
41003003333022220
54301012244012
6303351110320
736611231151
oct10303771250
92812087543
101125118632
11528111310
122749723a0
1314c136b91
14a95da928
1568b9873c
hex430ff2a8

1125118632 has 128 divisors (see below), whose sum is σ = 3154176000. Its totient is φ = 331568640.

The previous prime is 1125118583. The next prime is 1125118637. The reversal of 1125118632 is 2368115211.

It is a self number, because there is not a number n which added to its sum of digits gives 1125118632.

It is not an unprimeable number, because it can be changed into a prime (1125118637) 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, 1522119 + ... + 1522857.

It is an arithmetic number, because the mean of its divisors is an integer number (24642000).

Almost surely, 21125118632 is an apocalyptic number.

1125118632 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 1125118632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577088000).

1125118632 is an abundant number, since it is smaller than the sum of its proper divisors (2029057368).

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

1125118632 is a wasteful number, since it uses less digits than its factorization.

1125118632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 1125118632 is about 33542.7880773200. The cubic root of 1125118632 is about 1040.0784679453.

It can be divided in two parts, 1125118 and 632, that added together give a triangular number (1125750 = T1500).

The spelling of 1125118632 in words is "one billion, one hundred twenty-five million, one hundred eighteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 79 88 132 146 158 219 237 264 292 316 438 474 584 632 739 803 869 876 948 1478 1606 1738 1752 1896 2217 2409 2607 2956 3212 3476 4434 4818 5214 5767 5912 6424 6952 8129 8868 9636 10428 11534 16258 17301 17736 19272 20856 23068 24387 32516 34602 46136 48774 53947 58381 63437 65032 69204 97548 107894 116762 126874 138408 161841 175143 190311 195096 215788 233524 253748 323682 350286 380622 431576 467048 507496 593417 642191 647364 700572 761244 1186834 1284382 1294728 1401144 1522488 1780251 1926573 2373668 2568764 3560502 3853146 4261813 4747336 5137528 7121004 7706292 8523626 12785439 14242008 15412584 17047252 25570878 34094504 46879943 51141756 93759886 102283512 140639829 187519772 281279658 375039544 562559316 1125118632