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12159900 = 22325259229
BaseRepresentation
bin101110011000…
…101110011100
3211212210020200
4232120232130
511103104100
61112343500
7205233414
oct56305634
924783220
1012159900
116955a05
1240a4b90
132699a0c
141887644
151102e00
hexb98b9c

12159900 has 108 divisors (see below), whose sum is σ = 38929800. Its totient is φ = 3173760.

The previous prime is 12159899. The next prime is 12159911. The reversal of 12159900 is 995121.

It is a happy number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 52986 + ... + 53214.

Almost surely, 212159900 is an apocalyptic number.

12159900 is a gapful number since it is divisible by the number (10) 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 12159900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19464900).

12159900 is an abundant number, since it is smaller than the sum of its proper divisors (26769900).

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

12159900 is a wasteful number, since it uses less digits than its factorization.

12159900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 12159900 is about 3487.1048163197. The cubic root of 12159900 is about 229.9552527945.

The spelling of 12159900 in words is "twelve million, one hundred fifty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 229 236 295 300 354 450 458 531 590 687 708 885 900 916 1062 1145 1180 1374 1475 1770 2061 2124 2290 2655 2748 2950 3435 3540 4122 4425 4580 5310 5725 5900 6870 8244 8850 10305 10620 11450 13275 13511 13740 17175 17700 20610 22900 26550 27022 34350 40533 41220 51525 53100 54044 67555 68700 81066 103050 121599 135110 162132 202665 206100 243198 270220 337775 405330 486396 607995 675550 810660 1013325 1215990 1351100 2026650 2431980 3039975 4053300 6079950 12159900