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12470900 = 22521353181
BaseRepresentation
bin101111100100…
…101001110100
3212110120212012
4233210221310
511143032100
61123143352
7211000211
oct57445164
925416765
1012470900
117048632
124214b58
132778440
141928b08
151165135
hexbe4a74

12470900 has 72 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 4492800.

The previous prime is 12470891. The next prime is 12470917. The reversal of 12470900 is 907421.

It can be written as a sum of positive squares in 12 ways, for example, as 8317456 + 4153444 = 2884^2 + 2038^2 .

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, 68810 + ... + 68990.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 212470900 is an apocalyptic number.

12470900 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 12470900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732).

12470900 is an abundant number, since it is smaller than the sum of its proper divisors (17386564).

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

12470900 is a wasteful number, since it uses less digits than its factorization.

12470900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 12470900 is about 3531.4161465339. The cubic root of 12470900 is about 231.8992081002.

The spelling of 12470900 in words is "twelve million, four hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 181 212 260 265 325 362 530 650 689 724 905 1060 1300 1325 1378 1810 2353 2650 2756 3445 3620 4525 4706 5300 6890 9050 9412 9593 11765 13780 17225 18100 19186 23530 34450 38372 47060 47965 58825 68900 95930 117650 124709 191860 235300 239825 249418 479650 498836 623545 959300 1247090 2494180 3117725 6235450 12470900