Search a number
-
+
104067408 = 24319532153
BaseRepresentation
bin1100011001111…
…11000101010000
321020211011122110
412030333011100
5203120124113
614154305320
72402362344
oct614770520
9236734573
10104067408
115381a425
122aa28240
1318738c63
14db6d624
159209bc3
hex633f150

104067408 has 80 divisors (see below), whose sum is σ = 288463680. Its totient is φ = 32228352.

The previous prime is 104067407. The next prime is 104067409. The reversal of 104067408 is 804760401.

It is an interprime number because it is at equal distance from previous prime (104067407) and next prime (104067409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104067401) 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 15 ways as a sum of consecutive naturals, for example, 47260 + ... + 49412.

It is an arithmetic number, because the mean of its divisors is an integer number (3605796).

Almost surely, 2104067408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104067408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144231840).

104067408 is an abundant number, since it is smaller than the sum of its proper divisors (184396272).

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

104067408 is a wasteful number, since it uses less digits than its factorization.

104067408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 104067408 is about 10201.3434409395. The cubic root of 104067408 is about 470.3685173756.

The spelling of 104067408 in words is "one hundred four million, sixty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2153 2544 3021 4028 4306 6042 6459 8056 8612 12084 12918 16112 17224 24168 25836 34448 40907 48336 51672 81814 103344 114109 122721 163628 228218 245442 327256 342327 456436 490884 654512 684654 912872 981768 1369308 1825744 1963536 2168071 2738616 4336142 5477232 6504213 8672284 13008426 17344568 26016852 34689136 52033704 104067408