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12468750 = 2356719
BaseRepresentation
bin101111100100…
…001000001110
3212110110220120
4233210020032
511143000000
61123125410
7210661020
oct57441016
925413816
1012468750
117046a58
124213866
132777478
141928010
1511646a0
hexbe420e

12468750 has 112 divisors (see below), whose sum is σ = 37499520. Its totient is φ = 2700000.

The previous prime is 12468739. The next prime is 12468763. The reversal of 12468750 is 5786421.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 656241 + ... + 656259.

Almost surely, 212468750 is an apocalyptic number.

12468750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749760).

12468750 is an abundant number, since it is smaller than the sum of its proper divisors (25030770).

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

12468750 is an frugal number, since it uses more digits than its factorization.

12468750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12468750 is about 3531.1117229564. Note that the first 3 decimals coincide. The cubic root of 12468750 is about 231.8858807554.

The spelling of 12468750 in words is "twelve million, four hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 125 133 150 175 190 210 250 266 285 350 375 399 475 525 570 625 665 750 798 875 950 1050 1250 1330 1425 1750 1875 1995 2375 2625 2850 3125 3325 3750 3990 4375 4750 5250 6250 6650 7125 8750 9375 9975 11875 13125 14250 15625 16625 18750 19950 21875 23750 26250 31250 33250 35625 43750 46875 49875 59375 65625 71250 83125 93750 99750 109375 118750 131250 166250 178125 218750 249375 296875 328125 356250 415625 498750 593750 656250 831250 890625 1246875 1781250 2078125 2493750 4156250 6234375 12468750