Search a number
-
+
120561210 = 23457111933
BaseRepresentation
bin1110010111110…
…01111000111010
322101212010220000
413023321320322
5221330424320
615544013430
72662516260
oct713717072
9271763800
10120561210
1162065470
1234461276
131bc924c3
1412024430
15a8b6c90
hex72f9e3a

120561210 has 160 divisors (see below), whose sum is σ = 404376192. Its totient is φ = 25038720.

The previous prime is 120561143. The next prime is 120561241. The reversal of 120561210 is 12165021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61404 + ... + 63336.

Almost surely, 2120561210 is an apocalyptic number.

120561210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120561210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202188096).

120561210 is an abundant number, since it is smaller than the sum of its proper divisors (283814982).

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

120561210 is a wasteful number, since it uses less digits than its factorization.

120561210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 120561210 is about 10980.0368851839. The cubic root of 120561210 is about 494.0101431039.

The spelling of 120561210 in words is "one hundred twenty million, five hundred sixty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 1933 2079 2310 2835 2970 3465 3866 4158 4455 5670 5799 6237 6930 8910 9665 10395 11598 12474 13531 17397 19330 20790 21263 27062 28995 31185 34794 40593 42526 52191 57990 62370 63789 67655 81186 86985 104382 106315 121779 127578 135310 148841 156573 173970 191367 202965 212630 243558 260955 297682 313146 318945 365337 382734 405930 446523 521910 574101 608895 637890 730674 744205 782865 893046 956835 1096011 1148202 1217790 1339569 1488410 1565730 1722303 1826685 1913670 2192022 2232615 2679138 2870505 3444606 3653370 4018707 4465230 5480055 5741010 6697845 8037414 8611515 10960110 12056121 13395690 17223030 20093535 24112242 40187070 60280605 120561210