Search a number
-
+
120366456630 = 235729188910463
BaseRepresentation
bin111000000011001100…
…1100101111100110110
3102111200112201112111020
41300012121211330312
53433002303103010
6131143502522010
711460536000040
oct1600631457466
9374615645436
10120366456630
11470577aa442
121b3b2596306
13b4730b2c04
145b7bc98a90
1531e7240470
hex1c06665f36

120366456630 has 128 divisors (see below), whose sum is σ = 341745868800. Its totient is φ = 26547032064.

The previous prime is 120366456593. The next prime is 120366456641. The reversal of 120366456630 is 36654663021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11498779 + ... + 11509241.

It is an arithmetic number, because the mean of its divisors is an integer number (2669889600).

Almost surely, 2120366456630 is an apocalyptic number.

120366456630 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 120366456630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170872934400).

120366456630 is an abundant number, since it is smaller than the sum of its proper divisors (221379412170).

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

120366456630 is a wasteful number, since it uses less digits than its factorization.

120366456630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 120366456630 in words is "one hundred twenty billion, three hundred sixty-six million, four hundred fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 1889 2030 3045 3778 5667 6090 9445 10463 11334 13223 18890 20926 26446 28335 31389 39669 52315 54781 56670 62778 66115 73241 79338 104630 109562 132230 146482 156945 164343 198345 219723 273905 303427 313890 328686 366205 383467 396690 439446 547810 606854 732410 766934 821715 910281 1098615 1150401 1517135 1643430 1820562 1917335 2123989 2197230 2300802 3034270 3834670 4247978 4551405 5752005 6371967 9102810 10619945 11504010 12743934 19764607 21239890 31859835 39529214 59293821 63719670 98823035 118587642 138352249 197646070 276704498 296469105 415056747 573173603 592938210 691761245 830113494 1146347206 1383522490 1719520809 2075283735 2865868015 3439041618 4012215221 4150567470 5731736030 8024430442 8597604045 12036645663 17195208090 20061076105 24073291326 40122152210 60183228315 120366456630