Search a number
-
+
116237000 = 23531110567
BaseRepresentation
bin1101110110110…
…10001011001000
322002201110012002
412323122023020
5214224041000
615311210132
72610666245
oct673321310
9262643162
10116237000
115a681640
1232b16948
131b10a1b9
141161a5cc
15a3108d5
hex6eda2c8

116237000 has 64 divisors (see below), whose sum is σ = 296749440. Its totient is φ = 42264000.

The previous prime is 116236999. The next prime is 116237057. The reversal of 116237000 is 732611.

It is a happy number.

It is a super-2 number, since 2×1162370002 = 27022080338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5717 + ... + 16283.

It is an arithmetic number, because the mean of its divisors is an integer number (4636710).

Almost surely, 2116237000 is an apocalyptic number.

116237000 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 116237000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148374720).

116237000 is an abundant number, since it is smaller than the sum of its proper divisors (180512440).

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

116237000 is a wasteful number, since it uses less digits than its factorization.

116237000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 116237000 is about 10781.3264490043. The cubic root of 116237000 is about 488.0318106111.

Adding to 116237000 its reverse (732611), we get a palindrome (116969611).

The spelling of 116237000 in words is "one hundred sixteen million, two hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 10567 11000 21134 42268 52835 84536 105670 116237 211340 232474 264175 422680 464948 528350 581185 929896 1056700 1162370 1320875 2113400 2324740 2641750 2905925 4649480 5283500 5811850 10567000 11623700 14529625 23247400 29059250 58118500 116237000