Search a number
-
+
3110124420 = 22325134728279
BaseRepresentation
bin1011100101100000…
…1011101110000100
322000202020200122100
42321120023232010
522332142440140
61232340432100
7140033423064
oct27130135604
98022220570
103110124420
111356647567
127296a8630
133a7461410
142170b13a4
15133098530
hexb960bb84

3110124420 has 144 divisors (see below), whose sum is σ = 10376271360. Its totient is φ = 749253888.

The previous prime is 3110124403. The next prime is 3110124427. The reversal of 3110124420 is 244210113.

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 = 3110124393 and 3110124402.

It is not an unprimeable number, because it can be changed into a prime (3110124427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95841 + ... + 124119.

It is an arithmetic number, because the mean of its divisors is an integer number (72057440).

Almost surely, 23110124420 is an apocalyptic number.

3110124420 is a gapful number since it is divisible by the number (30) 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 3110124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188135680).

3110124420 is an abundant number, since it is smaller than the sum of its proper divisors (7266146940).

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

3110124420 is a wasteful number, since it uses less digits than its factorization.

3110124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28354 (or 28349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3110124420 is about 55768.4894900337. The cubic root of 3110124420 is about 1459.6853672419.

Adding to 3110124420 its reverse (244210113), we get a palindrome (3354334533).

The spelling of 3110124420 in words is "three billion, one hundred ten million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1410 1692 1833 2115 2340 2444 2820 3055 3666 4230 5499 6110 7332 8460 9165 10998 12220 18330 21996 27495 28279 36660 54990 56558 84837 109980 113116 141395 169674 254511 282790 339348 367627 424185 509022 565580 735254 848370 1018044 1102881 1272555 1329113 1470508 1696740 1838135 2205762 2545110 2658226 3308643 3676270 3987339 4411524 5090220 5316452 5514405 6617286 6645565 7352540 7974678 11028810 11962017 13234572 13291130 15949356 16543215 17278469 19936695 22057620 23924034 26582260 33086430 34556938 39873390 47848068 51835407 59810085 66172860 69113876 79746780 86392345 103670814 119620170 155506221 172784690 207341628 239240340 259177035 311012442 345569380 518354070 622024884 777531105 1036708140 1555062210 3110124420