Search a number
-
+
104137488 = 2434713883
BaseRepresentation
bin1100011010100…
…00001100010000
321020221201210000
412031100030100
5203124344423
614200010000
72403103560
oct615201420
9236851700
10104137488
1153868044
122aa60900
1318761b20
14db8ada0
159220843
hex6350310

104137488 has 200 divisors, whose sum is σ = 371379008. Its totient is φ = 27433728.

The previous prime is 104137483. The next prime is 104137489. The reversal of 104137488 is 884731401.

It is a super-3 number, since 3×1041374883 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104137483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117495 + ... + 118377.

Almost surely, 2104137488 is an apocalyptic number.

104137488 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 104137488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185689504).

104137488 is an abundant number, since it is smaller than the sum of its proper divisors (267241520).

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

104137488 is a wasteful number, since it uses less digits than its factorization.

104137488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 908 counting only the distinct ones).

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

The square root of 104137488 is about 10204.7777045852. Note that the first 4 decimals coincide. The cubic root of 104137488 is about 470.4740772552.

Adding to 104137488 its reverse (884731401), we get a palindrome (988868889).

The spelling of 104137488 in words is "one hundred four million, one hundred thirty-seven thousand, four hundred eighty-eight".