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12300400 = 2452723191
BaseRepresentation
bin101110111011…
…000001110000
3212010220222101
4232323001300
511122103100
61115350144
7206360140
oct56730160
925126871
1012300400
116a41522
124152354
132718958
1418c2920
15112e86a
hexbbb070

12300400 has 120 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 4012800.

The previous prime is 12300383. The next prime is 12300403. The reversal of 12300400 is 400321.

12300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64305 + ... + 64495.

Almost surely, 212300400 is an apocalyptic number.

12300400 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 12300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

12300400 is an abundant number, since it is smaller than the sum of its proper divisors (23125904).

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

12300400 is a wasteful number, since it uses less digits than its factorization.

12300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12300400 is about 3507.1926094813. The cubic root of 12300400 is about 230.8375262249.

Adding to 12300400 its reverse (400321), we get a palindrome (12700721).

The spelling of 12300400 in words is "twelve million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 191 200 230 280 322 350 368 382 400 460 560 575 644 700 764 805 920 955 1150 1288 1337 1400 1528 1610 1840 1910 2300 2576 2674 2800 3056 3220 3820 4025 4393 4600 4775 5348 6440 6685 7640 8050 8786 9200 9550 10696 12880 13370 15280 16100 17572 19100 21392 21965 26740 30751 32200 33425 35144 38200 43930 53480 61502 64400 66850 70288 76400 87860 106960 109825 123004 133700 153755 175720 219650 246008 267400 307510 351440 439300 492016 534800 615020 768775 878600 1230040 1537550 1757200 2460080 3075100 6150200 12300400