Search a number
-
+
103888640 = 28581163
BaseRepresentation
bin1100011000100…
…11011100000000
321020111002102102
412030103130000
5203043414030
614150405532
72401016222
oct614233400
9236432372
10103888640
1153708089
122a9608a8
13186a578b
14db24412
1591c1c45
hex6313700

103888640 has 36 divisors (see below), whose sum is σ = 248848824. Its totient is φ = 41554944.

The previous prime is 103888621. The next prime is 103888651. The reversal of 103888640 is 46888301.

It is a junction number, because it is equal to n+sod(n) for n = 103888594 and 103888603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39302 + ... + 41861.

Almost surely, 2103888640 is an apocalyptic number.

103888640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103888640 is an abundant number, since it is smaller than the sum of its proper divisors (144960184).

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

103888640 is an frugal number, since it uses more digits than its factorization.

103888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81184 (or 81170 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 103888640 is about 10192.5776916342. The cubic root of 103888640 is about 470.0990284769.

The spelling of 103888640 in words is "one hundred three million, eight hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 81163 162326 324652 405815 649304 811630 1298608 1623260 2597216 3246520 5194432 6493040 10388864 12986080 20777728 25972160 51944320 103888640