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117813528 = 23347191367
BaseRepresentation
bin1110000010110…
…11000100011000
322012200112210000
413001123010120
5220130013103
615405053000
72630253450
oct701330430
9265615700
10117813528
1160559058
1233557160
131b53c961
141190ad60
15a522aa3
hex705b118

117813528 has 160 divisors (see below), whose sum is σ = 397267200. Its totient is φ = 31866048.

The previous prime is 117813517. The next prime is 117813557. The reversal of 117813528 is 825318711.

117813528 is a `hidden beast` number, since 117 + 8 + 13 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117813492 and 117813501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85501 + ... + 86867.

It is an arithmetic number, because the mean of its divisors is an integer number (2482920).

Almost surely, 2117813528 is an apocalyptic number.

117813528 is a gapful number since it is divisible by the number (18) 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 117813528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198633600).

117813528 is an abundant number, since it is smaller than the sum of its proper divisors (279453672).

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

117813528 is a wasteful number, since it uses less digits than its factorization.

117813528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1398 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 117813528 is about 10854.1940281165. The cubic root of 117813528 is about 490.2283095432.

It can be divided in two parts, 117813 and 528, that added together give a triangular number (118341 = T486).

The spelling of 117813528 in words is "one hundred seventeen million, eight hundred thirteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1367 1368 1512 1539 1596 2052 2268 2394 2734 3078 3192 3591 4101 4104 4536 4788 5468 6156 7182 8202 9569 9576 10773 10936 12303 12312 14364 16404 19138 21546 24606 25973 28707 28728 32808 36909 38276 43092 49212 51946 57414 73818 76552 77919 86121 86184 98424 103892 110727 114828 147636 155838 172242 181811 207784 221454 229656 233757 258363 295272 311676 344484 363622 442908 467514 516726 545433 623352 688968 701271 727244 775089 885816 935028 1033452 1090866 1402542 1454488 1550178 1636299 1870056 2066904 2103813 2181732 2805084 3100356 3272598 4207626 4363464 4908897 5610168 6200712 6545196 8415252 9817794 13090392 14726691 16830504 19635588 29453382 39271176 58906764 117813528