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116534376 = 23347231117
BaseRepresentation
bin1101111001000…
…10110001101000
322010021120010000
412330202301220
5214313100001
615321423000
72613345240
oct674426150
9263246100
10116534376
115a865002
123303aa60
131b1b266a
1411696b20
15a36da86
hex6f22c68

116534376 has 160 divisors (see below), whose sum is σ = 389600640. Its totient is φ = 31819392.

The previous prime is 116534351. The next prime is 116534377. The reversal of 116534376 is 673435611.

116534376 is a `hidden beast` number, since 116 + 534 + 3 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116534376.

It is not an unprimeable number, because it can be changed into a prime (116534377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103770 + ... + 104886.

It is an arithmetic number, because the mean of its divisors is an integer number (2435004).

Almost surely, 2116534376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116534376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194800320).

116534376 is an abundant number, since it is smaller than the sum of its proper divisors (273066264).

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

116534376 is a wasteful number, since it uses less digits than its factorization.

116534376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1152 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 116534376 is about 10795.1088924568. The cubic root of 116534376 is about 488.4476430894.

Adding to 116534376 its reverse (673435611), we get a palindrome (789969987).

The spelling of 116534376 in words is "one hundred sixteen million, five hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1117 1134 1242 1288 1449 1512 1656 1863 1932 2234 2268 2484 2898 3351 3726 3864 4347 4468 4536 4968 5796 6702 7452 7819 8694 8936 10053 11592 13041 13404 14904 15638 17388 20106 23457 25691 26082 26808 30159 31276 34776 40212 46914 51382 52164 60318 62552 70371 77073 80424 90477 93828 102764 104328 120636 140742 154146 179837 180954 187656 205528 211113 231219 241272 281484 308292 359674 361908 422226 462438 539511 562968 616584 633339 693657 719348 723816 844452 924876 1079022 1266678 1387314 1438696 1618533 1688904 1849752 2080971 2158044 2533356 2774628 3237066 4161942 4316088 4855599 5066712 5549256 6474132 8323884 9711198 12948264 14566797 16647768 19422396 29133594 38844792 58267188 116534376