Search a number
-
+
12100620 = 2235747613
BaseRepresentation
bin101110001010…
…010000001100
3211202202221010
4232022100030
511044204440
61111205220
7204565530
oct56122014
924682833
1012100620
116915414
124076810
132678a3c
14186dbc0
1510e0580
hexb8a40c

12100620 has 96 divisors (see below), whose sum is σ = 39610368. Its totient is φ = 2702592.

The previous prime is 12100609. The next prime is 12100637. The reversal of 12100620 is 2600121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12100596 and 12100605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19434 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (412608).

Almost surely, 212100620 is an apocalyptic number.

12100620 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 12100620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805184).

12100620 is an abundant number, since it is smaller than the sum of its proper divisors (27509748).

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

12100620 is a wasteful number, since it uses less digits than its factorization.

12100620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12100620 is about 3478.5945437777. The cubic root of 12100620 is about 229.5809635502.

Adding to 12100620 its reverse (2600121), we get a palindrome (14700741).

It can be divided in two parts, 12100 and 620, that added together give a triangular number (12720 = T159).

The spelling of 12100620 in words is "twelve million, one hundred thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 613 658 705 940 987 1226 1316 1410 1645 1839 1974 2452 2820 3065 3290 3678 3948 4291 4935 6130 6580 7356 8582 9195 9870 12260 12873 17164 18390 19740 21455 25746 28811 36780 42910 51492 57622 64365 85820 86433 115244 128730 144055 172866 201677 257460 288110 345732 403354 432165 576220 605031 806708 864330 1008385 1210062 1728660 2016770 2420124 3025155 4033540 6050310 12100620