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116522560 = 2657114729
BaseRepresentation
bin1101111000111…
…11111001000000
322010020221220101
412330133321000
5214312210220
615321252144
72613265630
oct674377100
9263227811
10116522560
115a857140
1233034054
131b1aa17b
14116926c0
15a36a30a
hex6f1fe40

116522560 has 112 divisors (see below), whose sum is σ = 346008960. Its totient is φ = 36311040.

The previous prime is 116522557. The next prime is 116522563. The reversal of 116522560 is 65225611.

It is an interprime number because it is at equal distance from previous prime (116522557) and next prime (116522563).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (116522563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22276 + ... + 27004.

Almost surely, 2116522560 is an apocalyptic number.

116522560 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 116522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173004480).

116522560 is an abundant number, since it is smaller than the sum of its proper divisors (229486400).

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

116522560 is a wasteful number, since it uses less digits than its factorization.

116522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 116522560 is about 10794.5615936915. The cubic root of 116522560 is about 488.4311338194.

It can be divided in two parts, 1 and 16522560, that added together give a palindrome (16522561).

The spelling of 116522560 in words is "one hundred sixteen million, five hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4729 4928 6160 9458 12320 18916 23645 24640 33103 37832 47290 52019 66206 75664 94580 104038 132412 151328 165515 189160 208076 260095 264824 302656 331030 364133 378320 416152 520190 529648 662060 728266 756640 832304 1040380 1059296 1324120 1456532 1513280 1664608 1820665 2080760 2118592 2648240 2913064 3329216 3641330 4161520 5296480 5826128 7282660 8323040 10592960 11652256 14565320 16646080 23304512 29130640 58261280 116522560