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12900096 = 283211509
BaseRepresentation
bin110001001101…
…011100000000
3220021101121100
4301031130000
511300300341
61140254400
7214435416
oct61153400
926241540
1012900096
117311040
1243a1400
1328988c1
1419db2b6
1511ec3b6
hexc4d700

12900096 has 108 divisors (see below), whose sum is σ = 40655160. Its totient is φ = 3901440.

The previous prime is 12900089. The next prime is 12900103. The reversal of 12900096 is 69000921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12900089) and next prime (12900103).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25090 + ... + 25598.

Almost surely, 212900096 is an apocalyptic number.

12900096 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 12900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327580).

12900096 is an abundant number, since it is smaller than the sum of its proper divisors (27755064).

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

12900096 is a wasteful number, since it uses less digits than its factorization.

12900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12900096 is about 3591.6703634938. The cubic root of 12900096 is about 234.5295916636.

The spelling of 12900096 in words is "twelve million, nine hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 509 528 576 704 768 792 1018 1056 1152 1408 1527 1584 2036 2112 2304 2816 3054 3168 4072 4224 4581 5599 6108 6336 8144 8448 9162 11198 12216 12672 16288 16797 18324 22396 24432 25344 32576 33594 36648 44792 48864 50391 65152 67188 73296 89584 97728 100782 130304 134376 146592 179168 195456 201564 268752 293184 358336 390912 403128 537504 586368 716672 806256 1075008 1172736 1433344 1612512 2150016 3225024 4300032 6450048 12900096