Search a number
-
+
104375616 = 2631793037
BaseRepresentation
bin1100011100010…
…10010101000000
321021101211102120
412032022111000
5203210004431
614205044240
72405115042
oct616122500
9237354376
10104375616
1153a0aa44
122ab56680
1318816327
14dc0da92
15926b196
hex638a540

104375616 has 56 divisors (see below), whose sum is σ = 277794720. Its totient is φ = 34586112.

The previous prime is 104375591. The next prime is 104375657. The reversal of 104375616 is 616573401.

104375616 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32850 + ... + 35886.

It is an arithmetic number, because the mean of its divisors is an integer number (4960620).

Almost surely, 2104375616 is an apocalyptic number.

104375616 is a gapful number since it is divisible by the number (16) 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 104375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

104375616 is an abundant number, since it is smaller than the sum of its proper divisors (173419104).

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

104375616 is a wasteful number, since it uses less digits than its factorization.

104375616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 104375616 is about 10216.4385183879. The cubic root of 104375616 is about 470.8324104784.

The spelling of 104375616 in words is "one hundred four million, three hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 3037 4296 5728 6074 8592 9111 11456 12148 17184 18222 24296 34368 36444 48592 72888 97184 145776 194368 291552 543623 583104 1087246 1630869 2174492 3261738 4348984 6523476 8697968 13046952 17395936 26093904 34791872 52187808 104375616