Search a number
-
+
120252061560 = 233517311901519
BaseRepresentation
bin110111111111110010…
…1001101011101111000
3102111101120110122221210
41233333211031131320
53432234011432220
6131124255003120
711454646441521
oct1577745153570
9374346418853
10120252061560
1146aa9176764
121b3802094a0
13b45549c217
145b6a9db848
1531dc1956e0
hex1bff94d778

120252061560 has 128 divisors (see below), whose sum is σ = 394299187200. Its totient is φ = 29207316480.

The previous prime is 120252061507. The next prime is 120252061561. The reversal of 120252061560 is 65160252021.

It is a super-3 number, since 3×1202520615603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120252061561) 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, 887520 + ... + 1013999.

It is an arithmetic number, because the mean of its divisors is an integer number (3080462400).

Almost surely, 2120252061560 is an apocalyptic number.

120252061560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120252061560 is an abundant number, since it is smaller than the sum of its proper divisors (274047125640).

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

120252061560 is a wasteful number, since it uses less digits than its factorization.

120252061560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901581 (or 1901577 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 120252061560 in words is "one hundred twenty billion, two hundred fifty-two million, sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 465 510 527 620 680 744 930 1020 1054 1240 1581 1860 2040 2108 2635 3162 3720 4216 5270 6324 7905 10540 12648 15810 21080 31620 63240 1901519 3803038 5704557 7606076 9507595 11409114 15212152 19015190 22818228 28522785 32325823 38030380 45636456 57045570 58947089 64651646 76060760 96977469 114091140 117894178 129303292 161629115 176841267 193954938 228182280 235788356 258606584 294735445 323258230 353682534 387909876 471576712 484887345 589470890 646516460 707365068 775819752 884206335 969774690 1002100513 1178941780 1293032920 1414730136 1768412670 1939549380 2004201026 2357883560 3006301539 3536825340 3879098760 4008402052 5010502565 6012603078 7073650680 8016804104 10021005130 12025206156 15031507695 20042010260 24050412312 30063015390 40084020520 60126030780 120252061560