Search a number
-
+
114950976 = 263731289
BaseRepresentation
bin1101101101000…
…00001101000000
322000022010002120
412312200031000
5213411412401
615223444240
72564032020
oct666401500
9260263076
10114950976
1159983408
12325b6680
131aa79a3a
14113a3a80
15a159836
hex6da0340

114950976 has 168 divisors, whose sum is σ = 363199680. Its totient is φ = 31426560.

The previous prime is 114950959. The next prime is 114950977. The reversal of 114950976 is 679059411.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114950977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291540 + ... + 1291628.

Almost surely, 2114950976 is an apocalyptic number.

114950976 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 114950976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181599840).

114950976 is an abundant number, since it is smaller than the sum of its proper divisors (248248704).

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

114950976 is an equidigital number, since it uses as much as digits as its factorization.

114950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 114950976 is about 10721.5192953238. The cubic root of 114950976 is about 486.2253015565.

It can be divided in two parts, 1149 and 50976, that added together give a palindrome (52125).

The spelling of 114950976 in words is "one hundred fourteen million, nine hundred fifty thousand, nine hundred seventy-six".