Search a number
-
+
104401416 = 23372341659
BaseRepresentation
bin1100011100100…
…00101000001000
321021110010211010
412032100220020
5203211321131
614205403520
72405253210
oct616205010
9237403733
10104401416
1153a28369
122ab695a0
1318824cb2
14dc19240
159273b46
hex6390a08

104401416 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 27793920.

The previous prime is 104401411. The next prime is 104401417. The reversal of 104401416 is 614104401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 104401392 and 104401401.

It is not an unprimeable number, because it can be changed into a prime (104401411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158095 + ... + 158753.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2104401416 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 104401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

104401416 is an abundant number, since it is smaller than the sum of its proper divisors (214932984).

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

104401416 is a wasteful number, since it uses less digits than its factorization.

104401416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 104401416 is about 10217.7011113068. The cubic root of 104401416 is about 470.8712013886.

Adding to 104401416 its reverse (614104401), we get a palindrome (718505817).

The spelling of 104401416 in words is "one hundred four million, four hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 56 69 82 84 92 123 138 161 164 168 184 246 276 287 322 328 483 492 552 574 644 659 861 943 966 984 1148 1288 1318 1722 1886 1932 1977 2296 2636 2829 3444 3772 3864 3954 4613 5272 5658 6601 6888 7544 7908 9226 11316 13202 13839 15157 15816 18452 19803 22632 26404 27019 27678 30314 36904 39606 45471 52808 54038 55356 60628 79212 81057 90942 106099 108076 110712 121256 158424 162114 181884 189133 212198 216152 318297 324228 363768 378266 424396 567399 621437 636594 648456 756532 848792 1134798 1242874 1273188 1513064 1864311 2269596 2485748 2546376 3728622 4350059 4539192 4971496 7457244 8700118 13050177 14914488 17400236 26100354 34800472 52200708 104401416