Search a number
-
+
120146565560 = 23572322818179
BaseRepresentation
bin110111111100101001…
…0110001100110111000
3102111010012221220122112
41233321102301212320
53432030010044220
6131110005511452
711452225646150
oct1577122614670
9374105856575
10120146565560
1146a54670a8a
121b350a12588
13b439682c58
145b5a9b9760
1531d2ca75c5
hex1bf94b19b8

120146565560 has 128 divisors (see below), whose sum is σ = 322561612800. Its totient is φ = 39380014080.

The previous prime is 120146565533. The next prime is 120146565563. The reversal of 120146565560 is 65565641021.

It is a super-2 number, since 2×1201465655602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120146565563) 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, 14685551 + ... + 14693729.

It is an arithmetic number, because the mean of its divisors is an integer number (2520012600).

Almost surely, 2120146565560 is an apocalyptic number.

120146565560 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 120146565560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280806400).

120146565560 is an abundant number, since it is smaller than the sum of its proper divisors (202415047240).

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

120146565560 is a wasteful number, since it uses less digits than its factorization.

120146565560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 120146565560 in words is "one hundred twenty billion, one hundred forty-six million, five hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 2281 3220 4562 6440 8179 9124 11405 15967 16358 18248 22810 31934 32716 40895 45620 52463 57253 63868 65432 79835 81790 91240 104926 114506 127736 159670 163580 188117 209852 229012 262315 286265 319340 327160 367241 376234 419704 458024 524630 572530 638680 734482 752468 940585 1049260 1145060 1316819 1468964 1504936 1836205 1881170 2098520 2290120 2633638 2937928 3672410 3762340 5267276 6584095 7344820 7524680 10534552 13168190 14689640 18656299 26336380 37312598 52672760 74625196 93281495 130594093 149250392 186562990 261188186 373125980 429094877 522376372 652970465 746251960 858189754 1044752744 1305940930 1716379508 2145474385 2611881860 3003664139 3432759016 4290948770 5223763720 6007328278 8581897540 12014656556 15018320695 17163795080 24029313112 30036641390 60073282780 120146565560