Search a number
-
+
106027488 = 2533747373
BaseRepresentation
bin1100101000111…
…01100111100000
321101111202101000
412110131213200
5204120334423
614304312000
72425135020
oct624354740
9241452330
10106027488
1154939026
122b612600
1318c74178
141011da80
159495843
hex651d9e0

106027488 has 192 divisors, whose sum is σ = 361912320. Its totient is φ = 29569536.

The previous prime is 106027483. The next prime is 106027489. The reversal of 106027488 is 884720601.

106027488 is a `hidden beast` number, since 1 + 0 + 602 + 7 + 48 + 8 = 666.

It is a super-2 number, since 2×1060274882 = 22483656423180288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106027483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 284070 + ... + 284442.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2106027488 is an apocalyptic number.

106027488 is a gapful number since it is divisible by the number (18) 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 106027488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

106027488 is an abundant number, since it is smaller than the sum of its proper divisors (255884832).

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

106027488 is a wasteful number, since it uses less digits than its factorization.

106027488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106027488 is about 10296.9649897433. The cubic root of 106027488 is about 473.3032544972.

The spelling of 106027488 in words is "one hundred six million, twenty-seven thousand, four hundred eighty-eight".