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120241000 = 23531117643
BaseRepresentation
bin1110010101010…
…11101101101000
322101020212122101
413022223231220
5221240203000
615533103144
72660013565
oct712535550
9271225571
10120241000
1161966930
1234327ab4
131bbac829
1411d7d86c
15a851e6a
hex72abb68

120241000 has 128 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 41088000.

The previous prime is 120240961. The next prime is 120241007. The reversal of 120241000 is 142021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120241007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186679 + ... + 187321.

It is an arithmetic number, because the mean of its divisors is an integer number (2542995).

Almost surely, 2120241000 is an apocalyptic number.

120241000 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 120241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

120241000 is an abundant number, since it is smaller than the sum of its proper divisors (205262360).

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

120241000 is a wasteful number, since it uses less digits than its factorization.

120241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120241000 is about 10965.4457273747. The cubic root of 120241000 is about 493.5723924573.

Adding to 120241000 its reverse (142021), we get a palindrome (120383021).

It can be divided in two parts, 1 and 20241000, that added together give a square (20241001 = 44992).

The spelling of 120241000 in words is "one hundred twenty million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 643 680 748 850 935 1000 1100 1286 1375 1496 1700 1870 2125 2200 2572 2750 3215 3400 3740 4250 4675 5144 5500 6430 7073 7480 8500 9350 10931 11000 12860 14146 16075 17000 18700 21862 23375 25720 28292 32150 35365 37400 43724 46750 54655 56584 64300 70730 80375 87448 93500 109310 120241 128600 141460 160750 176825 187000 218620 240482 273275 282920 321500 353650 437240 480964 546550 601205 643000 707300 884125 961928 1093100 1202410 1366375 1414600 1768250 2186200 2404820 2732750 3006025 3536500 4809640 5465500 6012050 7073000 10931000 12024100 15030125 24048200 30060250 60120500 120241000