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12157300 = 2252611993
BaseRepresentation
bin101110011000…
…000101110100
3211212122200101
4232120011310
511103013200
61112323444
7205223011
oct56300564
924778611
1012157300
116953a61
1240a3584
13269878c
141886708
15110226a
hexb98174

12157300 has 36 divisors (see below), whose sum is σ = 26827276. Its totient is φ = 4780800.

The previous prime is 12157273. The next prime is 12157303. The reversal of 12157300 is 375121.

It can be written as a sum of positive squares in 6 ways, for example, as 1227664 + 10929636 = 1108^2 + 3306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5104 + ... + 7096.

Almost surely, 212157300 is an apocalyptic number.

12157300 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 12157300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413638).

12157300 is an abundant number, since it is smaller than the sum of its proper divisors (14669976).

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

12157300 is a wasteful number, since it uses less digits than its factorization.

12157300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 12157300 is about 3486.7319942892. The cubic root of 12157300 is about 229.9388621369.

It can be divided in two parts, 1215 and 7300, that added together give a triangular number (8515 = T130).

The spelling of 12157300 in words is "twelve million, one hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 1993 3050 3986 6100 7972 9965 19930 39860 49825 99650 121573 199300 243146 486292 607865 1215730 2431460 3039325 6078650 12157300