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116238976 = 277243431
BaseRepresentation
bin1101110110110…
…10101010000000
322002201112220021
412323122222000
5214224121401
615311223224
72611005100
oct673325200
9262645807
10116238976
115a683077
1232b17b14
131b10b079
141161b200
15a3112a1
hex6edaa80

116238976 has 96 divisors (see below), whose sum is σ = 276281280. Its totient is φ = 48545280.

The previous prime is 116238961. The next prime is 116239001. The reversal of 116238976 is 679832611.

It is a super-2 number, since 2×1162389762 = 27022999083057152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 269481 + ... + 269911.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2116238976 is an apocalyptic number.

116238976 is a gapful number since it is divisible by the number (16) 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 116238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138140640).

116238976 is an abundant number, since it is smaller than the sum of its proper divisors (160042304).

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

116238976 is an equidigital number, since it uses as much as digits as its factorization.

116238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 116238976 is about 10781.4180885448. The cubic root of 116238976 is about 488.0345760685.

The spelling of 116238976 in words is "one hundred sixteen million, two hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 172 196 224 301 344 392 431 448 602 688 784 862 896 1204 1376 1568 1724 2107 2408 2752 3017 3136 3448 4214 4816 5504 6034 6272 6896 8428 9632 12068 13792 16856 18533 19264 21119 24136 27584 33712 37066 38528 42238 48272 55168 67424 74132 84476 96544 129731 134848 148264 168952 193088 259462 269696 296528 337904 386176 518924 593056 675808 908117 1037848 1186112 1351616 1816234 2075696 2372224 2703232 3632468 4151392 7264936 8302784 14529872 16605568 29059744 58119488 116238976