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12158900 = 22521347199
BaseRepresentation
bin101110011000…
…011110110100
3211212201212122
4232120132310
511103041100
61112335112
7205230455
oct56303664
924781778
1012158900
116955186
1240a4498
132699420
14188712c
151102985
hexb987b4

12158900 has 72 divisors (see below), whose sum is σ = 29164800. Its totient is φ = 4371840.

The previous prime is 12158899. The next prime is 12158911. The reversal of 12158900 is 985121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12158900.

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 23 ways as a sum of consecutive naturals, for example, 61001 + ... + 61199.

Almost surely, 212158900 is an apocalyptic number.

12158900 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 12158900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582400).

12158900 is an abundant number, since it is smaller than the sum of its proper divisors (17005900).

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

12158900 is a wasteful number, since it uses less digits than its factorization.

12158900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 12158900 is about 3486.9614279484. The cubic root of 12158900 is about 229.9489489720.

The spelling of 12158900 in words is "twelve million, one hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 199 235 260 325 398 470 611 650 796 940 995 1175 1222 1300 1990 2350 2444 2587 3055 3980 4700 4975 5174 6110 9353 9950 10348 12220 12935 15275 18706 19900 25870 30550 37412 46765 51740 61100 64675 93530 121589 129350 187060 233825 243178 258700 467650 486356 607945 935300 1215890 2431780 3039725 6079450 12158900