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19968750 = 2325671
BaseRepresentation
bin100110000101…
…1001011101110
31101120111222100
41030023023232
520103000000
61551555530
7331505634
oct114131356
941514870
1019968750
11102a98aa
12682bba6
1341a2139
14291b354
151b46a00
hex130b2ee

19968750 has 84 divisors (see below), whose sum is σ = 54843048. Its totient is φ = 5250000.

The previous prime is 19968737. The next prime is 19968769. The reversal of 19968750 is 5786991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 19968696 and 19968705.

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 41 ways as a sum of consecutive naturals, for example, 281215 + ... + 281285.

Almost surely, 219968750 is an apocalyptic number.

19968750 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 19968750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27421524).

19968750 is an abundant number, since it is smaller than the sum of its proper divisors (34874298).

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

19968750 is an frugal number, since it uses more digits than its factorization.

19968750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19968750 is about 4468.6407329299. The cubic root of 19968750 is about 271.3003120447.

The spelling of 19968750 in words is "nineteen million, nine hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 125 142 150 213 225 250 355 375 426 450 625 639 710 750 1065 1125 1250 1278 1775 1875 2130 2250 3125 3195 3550 3750 5325 5625 6250 6390 8875 9375 10650 11250 15625 15975 17750 18750 26625 28125 31250 31950 44375 46875 53250 56250 79875 88750 93750 133125 140625 159750 221875 266250 281250 399375 443750 665625 798750 1109375 1331250 1996875 2218750 3328125 3993750 6656250 9984375 19968750