[go: up one dir, main page]

Search a number
-
+
116604000 = 2532534179
BaseRepresentation
bin1101111001100…
…11110001100000
322010102002121200
412330303301200
5214322312000
615323121200
72614055232
oct674636140
9263362550
10116604000
115a902347
1233073200
131b208266
14116b4252
15a384500
hex6f33c60

116604000 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 29952000.

The previous prime is 116603947. The next prime is 116604011. The reversal of 116604000 is 406611.

116604000 is a `hidden beast` number, since 1 + 1 + 660 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475961 + ... + 1476039.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2116604000 is an apocalyptic number.

116604000 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 116604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

116604000 is an abundant number, since it is smaller than the sum of its proper divisors (312683040).

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

116604000 is a wasteful number, since it uses less digits than its factorization.

116604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116604000 is about 10798.3332047127. Note that the first 3 decimals coincide. The cubic root of 116604000 is about 488.5448988218.

The spelling of 116604000 in words is "one hundred sixteen million, six hundred four thousand".