Search a number
-
+
103927936 = 277176823
BaseRepresentation
bin1100011000111…
…01000010000000
321020120002022211
412030131002000
5203101143221
614151311504
72401241620
oct614350200
9236502284
10103927936
1153734662
122a97b594
13186ba628
14db34880
1591cd6e1
hex631d080

103927936 has 64 divisors (see below), whose sum is σ = 250577280. Its totient is φ = 41914368.

The previous prime is 103927913. The next prime is 103928017. The reversal of 103927936 is 639729301.

It is a tau number, because it is divible by the number of its divisors (64).

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, 11821 + ... + 18643.

It is an arithmetic number, because the mean of its divisors is an integer number (3915270).

Almost surely, 2103927936 is an apocalyptic number.

103927936 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 103927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288640).

103927936 is an abundant number, since it is smaller than the sum of its proper divisors (146649344).

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

103927936 is an equidigital number, since it uses as much as digits as its factorization.

103927936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 103927936 is about 10194.5051866189. The cubic root of 103927936 is about 470.1582928417.

The spelling of 103927936 in words is "one hundred three million, nine hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 6823 7616 13646 15232 27292 47761 54584 95522 109168 115991 191044 218336 231982 382088 436672 463964 764176 811937 873344 927928 1528352 1623874 1855856 3056704 3247748 3711712 6113408 6495496 7423424 12990992 14846848 25981984 51963968 103927936