Search a number
-
+
116797520 = 2457415087
BaseRepresentation
bin1101111011000…
…11000001010000
322010202221002002
412331203001100
5214400010040
615331213132
72615522360
oct675430120
9263687062
10116797520
115aa24784
12331471a8
131b275378
14117249a0
15a3c1a15
hex6f63050

116797520 has 80 divisors (see below), whose sum is σ = 317979648. Its totient is φ = 39060480.

The previous prime is 116797501. The next prime is 116797523. The reversal of 116797520 is 25797611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116797523) 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, 20417 + ... + 25503.

Almost surely, 2116797520 is an apocalyptic number.

116797520 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 116797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158989824).

116797520 is an abundant number, since it is smaller than the sum of its proper divisors (201182128).

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

116797520 is a wasteful number, since it uses less digits than its factorization.

116797520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 38.

The square root of 116797520 is about 10807.2901321284. The cubic root of 116797520 is about 488.8150180704.

Subtracting from 116797520 its reverse (25797611), we obtain a palindrome (90999909).

The spelling of 116797520 in words is "one hundred sixteen million, seven hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5087 5740 10174 11480 20348 22960 25435 35609 40696 50870 71218 81392 101740 142436 178045 203480 208567 284872 356090 406960 417134 569744 712180 834268 1042835 1424360 1459969 1668536 2085670 2848720 2919938 3337072 4171340 5839876 7299845 8342680 11679752 14599690 16685360 23359504 29199380 58398760 116797520