Search a number
-
+
121623040 = 295711617
BaseRepresentation
bin1110011111111…
…01001000000000
322110212002110001
413033331020000
5222113414130
620022445344
73004531060
oct717751000
9273762401
10121623040
1162720210
1234893854
131c2748c6
141221d3a0
15aa266ca
hex73fd200

121623040 has 160 divisors (see below), whose sum is σ = 364155264. Its totient is φ = 37847040.

The previous prime is 121622999. The next prime is 121623053. The reversal of 121623040 is 40326121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 121622999 and 121623017.

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 15 ways as a sum of consecutive naturals, for example, 196812 + ... + 197428.

Almost surely, 2121623040 is an apocalyptic number.

121623040 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 121623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182077632).

121623040 is an abundant number, since it is smaller than the sum of its proper divisors (242532224).

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

121623040 is an equidigital number, since it uses as much as digits as its factorization.

121623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 121623040 is about 11028.2836379919. The cubic root of 121623040 is about 495.4562198718.

Adding to 121623040 its reverse (40326121), we get a palindrome (161949161).

The spelling of 121623040 in words is "one hundred twenty-one million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 512 560 616 617 640 704 770 880 896 1120 1232 1234 1280 1408 1540 1760 1792 2240 2464 2468 2560 2816 3080 3085 3520 3584 4319 4480 4928 4936 5632 6160 6170 6787 7040 8638 8960 9856 9872 12320 12340 13574 14080 17276 17920 19712 19744 21595 24640 24680 27148 28160 33935 34552 39424 39488 43190 47509 49280 49360 54296 67870 69104 78976 86380 95018 98560 98720 108592 135740 138208 157952 172760 190036 197120 197440 217184 237545 271480 276416 315904 345520 380072 394880 434368 475090 542960 552832 691040 760144 789760 868736 950180 1085920 1105664 1382080 1520288 1579520 1737472 1900360 2171840 2211328 2764160 3040576 3474944 3800720 4343680 5528320 6081152 7601440 8687360 11056640 12162304 15202880 17374720 24324608 30405760 60811520 121623040