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20412700 = 22527112241
BaseRepresentation
bin100110111011…
…1100100011100
31102102001221221
41031313210130
520211201300
62005303124
7335335150
oct115674434
942361857
1020412700
1110582400
126a04aa4
1342c9229
1429d5060
151bd331a
hex137791c

20412700 has 108 divisors (see below), whose sum is σ = 55874896. Its totient is φ = 6336000.

The previous prime is 20412697. The next prime is 20412703. The reversal of 20412700 is 721402.

It is an interprime number because it is at equal distance from previous prime (20412697) and next prime (20412703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84580 + ... + 84820.

Almost surely, 220412700 is an apocalyptic number.

20412700 is a gapful number since it is divisible by the number (20) 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 20412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937448).

20412700 is an abundant number, since it is smaller than the sum of its proper divisors (35462196).

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

20412700 is a wasteful number, since it uses less digits than its factorization.

20412700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 20412700 is about 4518.0416111408. The cubic root of 20412700 is about 273.2961314958.

It can be divided in two parts, 20412 and 700, that multiplied together give a square (14288400 = 37802).

The spelling of 20412700 in words is "twenty million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 140 154 175 220 241 242 275 308 350 385 482 484 550 605 700 770 847 964 1100 1205 1210 1540 1687 1694 1925 2410 2420 2651 3025 3374 3388 3850 4235 4820 5302 6025 6050 6748 7700 8435 8470 10604 12050 12100 13255 16870 16940 18557 21175 24100 26510 29161 33740 37114 42175 42350 53020 58322 66275 74228 84350 84700 92785 116644 132550 145805 168700 185570 204127 265100 291610 371140 408254 463925 583220 729025 816508 927850 1020635 1458050 1855700 2041270 2916100 4082540 5103175 10206350 20412700