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103928904 = 23322397647
BaseRepresentation
bin1100011000111…
…01010001001000
321020120010122200
412030131101020
5203101211104
614151320200
72401244502
oct614352110
9236503580
10103928904
1153735362
122a980060
13186babc1
14db34d72
1591cdb39
hex631d448

103928904 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 32744448.

The previous prime is 103928863. The next prime is 103928941. The reversal of 103928904 is 409829301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160309 + ... + 160955.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2103928904 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 103928904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

103928904 is an abundant number, since it is smaller than the sum of its proper divisors (193269816).

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

103928904 is a wasteful number, since it uses less digits than its factorization.

103928904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103928904 is about 10194.5526630647. The cubic root of 103928904 is about 470.1597525449.

The spelling of 103928904 in words is "one hundred three million, nine hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 97 138 184 194 207 276 291 388 414 552 582 647 776 828 873 1164 1294 1656 1746 1941 2231 2328 2588 3492 3882 4462 5176 5823 6693 6984 7764 8924 11646 13386 14881 15528 17848 20079 23292 26772 29762 40158 44643 46584 53544 59524 62759 80316 89286 119048 125518 133929 160632 178572 188277 251036 267858 357144 376554 502072 535716 564831 753108 1071432 1129662 1443457 1506216 2259324 2886914 4330371 4518648 5773828 8660742 11547656 12991113 17321484 25982226 34642968 51964452 103928904