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12155104 = 251361479
BaseRepresentation
bin101110010111…
…100011100000
3211212112200001
4232113203200
511102430404
61112305344
7205213423
oct56274340
924775601
1012155104
116952345
1240a2254
132697790
1418859ba
1511017a4
hexb978e0

12155104 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 5506560.

The previous prime is 12155081. The next prime is 12155123. The reversal of 12155104 is 40155121.

12155104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 25137 + ... + 25615.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 212155104 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 12155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

12155104 is an abundant number, since it is smaller than the sum of its proper divisors (14093216).

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

12155104 is a wasteful number, since it uses less digits than its factorization.

12155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 12155104 is about 3486.4170720096. The cubic root of 12155104 is about 229.9250165147.

It can be divided in two parts, 121 and 55104, that added together give a square (55225 = 2352).

The spelling of 12155104 in words is "twelve million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 479 488 793 958 976 1586 1916 1952 3172 3832 6227 6344 7664 12454 12688 15328 24908 25376 29219 49816 58438 99632 116876 199264 233752 379847 467504 759694 935008 1519388 3038776 6077552 12155104