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1285020 = 2232511259
BaseRepresentation
bin100111001101110011100
32102021201100
410321232130
5312110040
643313100
713631262
oct4715634
92367640
101285020
117a8500
1251b790
1335cb89
14256432
151a5b30
hex139b9c

1285020 has 108 divisors (see below), whose sum is σ = 4357080. Its totient is φ = 306240.

The previous prime is 1284991. The next prime is 1285021. The reversal of 1285020 is 205821.

Added to its reverse (205821) it gives a square (1490841 = 12212).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1284984 and 1285002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285021) 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, 21751 + ... + 21809.

21285020 is an apocalyptic number.

1285020 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 1285020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178540).

1285020 is an abundant number, since it is smaller than the sum of its proper divisors (3072060).

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

1285020 is a wasteful number, since it uses less digits than its factorization.

1285020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1285020 is about 1133.5872264630. The cubic root of 1285020 is about 108.7184609294.

Adding to 1285020 its reverse (205821), we get a square (1490841 = 12212).

The spelling of 1285020 in words is "one million, two hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 118 121 132 165 177 180 198 220 236 242 295 330 354 363 396 484 495 531 590 605 649 660 708 726 885 990 1062 1089 1180 1210 1298 1452 1770 1815 1947 1980 2124 2178 2420 2596 2655 3245 3540 3630 3894 4356 5310 5445 5841 6490 7139 7260 7788 9735 10620 10890 11682 12980 14278 19470 21417 21780 23364 28556 29205 35695 38940 42834 58410 64251 71390 85668 107085 116820 128502 142780 214170 257004 321255 428340 642510 1285020