Search a number
-
+
103796256 = 2534126371
BaseRepresentation
bin1100010111111…
…00111000100000
321020022101200210
412023330320200
5203032440011
614144414120
72400152664
oct613747040
9236271623
10103796256
1153654733
122a917340
1318672705
14dadc8a4
1591a46a6
hex62fce20

103796256 has 48 divisors (see below), whose sum is σ = 279121248. Its totient is φ = 33753600.

The previous prime is 103796243. The next prime is 103796267. The reversal of 103796256 is 652697301.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9250 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (5815026).

Almost surely, 2103796256 is an apocalyptic number.

103796256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103796256 is an abundant number, since it is smaller than the sum of its proper divisors (175324992).

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

103796256 is a wasteful number, since it uses less digits than its factorization.

103796256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425 (or 26417 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 103796256 is about 10188.0447584411. The cubic root of 103796256 is about 469.9596404155.

The spelling of 103796256 in words is "one hundred three million, seven hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 26371 52742 79113 105484 158226 210968 316452 421936 632904 843872 1081211 1265808 2162422 2531616 3243633 4324844 6487266 8649688 12974532 17299376 25949064 34598752 51898128 103796256