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104336128 = 2813107293
BaseRepresentation
bin1100011100000…
…00101100000000
321021022211021001
412032000230000
5203202224003
614204141344
72404561651
oct616005400
9237284231
10104336128
1153993306
122ab37854
1318801370
14dbdd528
15925e61d
hex6380b00

104336128 has 72 divisors (see below), whose sum is σ = 227153808. Its totient is φ = 47542272.

The previous prime is 104336107. The next prime is 104336153. The reversal of 104336128 is 821633401.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 104336096 and 104336105.

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, 355950 + ... + 356242.

It is an arithmetic number, because the mean of its divisors is an integer number (3154914).

Almost surely, 2104336128 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 104336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113576904).

104336128 is an abundant number, since it is smaller than the sum of its proper divisors (122817680).

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

104336128 is a wasteful number, since it uses less digits than its factorization.

104336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 104336128 is about 10214.5057638635. The cubic root of 104336128 is about 470.7730269555.

Adding to 104336128 its reverse (821633401), we get a palindrome (925969529).

It can be divided in two parts, 10433 and 6128, that added together give a palindrome (16561).

The spelling of 104336128 in words is "one hundred four million, three hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 128 208 214 256 293 416 428 586 832 856 1172 1391 1664 1712 2344 2782 3328 3424 3809 4688 5564 6848 7618 9376 11128 13696 15236 18752 22256 27392 30472 31351 37504 44512 60944 62702 75008 89024 121888 125404 178048 243776 250808 356096 407563 487552 501616 815126 975104 1003232 1630252 2006464 3260504 4012928 6521008 8025856 13042016 26084032 52168064 104336128