Search a number
-
+
63011490 = 23523294767
BaseRepresentation
bin1111000001011…
…1101010100010
311101120022111220
43300113222202
5112112331430
610130315510
71363405653
oct360275242
9141508456
1063011490
1132628513
1219128b96
1310092909
14852352a
1557ea110
hex3c17aa2

63011490 has 128 divisors (see below), whose sum is σ = 169205760. Its totient is φ = 14961408.

The previous prime is 63011489. The next prime is 63011497. The reversal of 63011490 is 9411036.

63011490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 63011490.

It is not an unprimeable number, because it can be changed into a prime (63011497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940437 + ... + 940503.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 263011490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63011490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

63011490 is an abundant number, since it is smaller than the sum of its proper divisors (106194270).

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

63011490 is a wasteful number, since it uses less digits than its factorization.

63011490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 63011490 is about 7937.9777021607. The cubic root of 63011490 is about 397.9299094606.

The spelling of 63011490 in words is "sixty-three million, eleven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 47 58 67 69 87 94 115 134 138 141 145 174 201 230 235 282 290 335 345 402 435 470 667 670 690 705 870 1005 1081 1334 1363 1410 1541 1943 2001 2010 2162 2726 3082 3149 3243 3335 3886 4002 4089 4623 5405 5829 6298 6486 6670 6815 7705 8178 9246 9447 9715 10005 10810 11658 13630 15410 15745 16215 18894 19430 20010 20445 23115 29145 31349 31490 32430 40890 44689 46230 47235 58290 62698 72427 89378 91321 94047 94470 134067 144854 156745 182642 188094 217281 223445 268134 273963 313490 362135 434562 446890 456605 470235 547926 670335 724270 913210 940470 1086405 1340670 1369815 2100383 2172810 2739630 4200766 6301149 10501915 12602298 21003830 31505745 63011490