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103555056 = 24311296763
BaseRepresentation
bin1100010110000…
…01111111110000
321012212010211110
412023001333300
5203002230211
614135313320
72365126533
oct613017760
9235763743
10103555056
11534aa4a0
122a81b840
13185b99a7
14da78a1a
159157ea6
hex62c1ff0

103555056 has 80 divisors (see below), whose sum is σ = 301944960. Its totient is φ = 30293760.

The previous prime is 103555037. The next prime is 103555061. The reversal of 103555056 is 650555301.

It is a super-3 number, since 3×1035550563 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11931 + ... + 18693.

It is an arithmetic number, because the mean of its divisors is an integer number (3774312).

Almost surely, 2103555056 is an apocalyptic number.

103555056 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 103555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150972480).

103555056 is an abundant number, since it is smaller than the sum of its proper divisors (198389904).

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

103555056 is a wasteful number, since it uses less digits than its factorization.

103555056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 103555056 is about 10176.2004697235. The cubic root of 103555056 is about 469.5953299649.

The spelling of 103555056 in words is "one hundred three million, five hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 6763 7656 13526 15312 20289 27052 40578 54104 74393 81156 108208 148786 162312 196127 223179 297572 324624 392254 446358 588381 595144 784508 892716 1176762 1190288 1569016 1785432 2157397 2353524 3138032 3570864 4314794 4707048 6472191 8629588 9414096 12944382 17259176 25888764 34518352 51777528 103555056