Search a number
-
+
121286508 = 22373147991
BaseRepresentation
bin1110011101010…
…10111101101100
322110012222210220
413032222331230
5222022132013
620011331340
73001626660
oct716527554
9273188726
10121286508
1162510392
1234750b50
131c187685
14121728a0
15a9abb23
hex73aaf6c

121286508 has 96 divisors (see below), whose sum is σ = 341311488. Its totient is φ = 32788800.

The previous prime is 121286479. The next prime is 121286537. The reversal of 121286508 is 805682121.

It is an interprime number because it is at equal distance from previous prime (121286479) and next prime (121286537).

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 31 ways as a sum of consecutive naturals, for example, 121893 + ... + 122883.

It is an arithmetic number, because the mean of its divisors is an integer number (3555328).

Almost surely, 2121286508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121286508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170655744).

121286508 is an abundant number, since it is smaller than the sum of its proper divisors (220024980).

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

121286508 is a wasteful number, since it uses less digits than its factorization.

121286508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 121286508 is about 11013.0153908909. The cubic root of 121286508 is about 494.9988205257.

The spelling of 121286508 in words is "one hundred twenty-one million, two hundred eighty-six thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 991 1302 1316 1457 1974 1982 2604 2914 2973 3948 3964 4371 5828 5946 6937 8742 10199 11892 13874 17484 20398 20811 27748 30597 30721 40796 41622 46577 61194 61442 83244 92163 93154 122388 122884 139731 184326 186308 215047 279462 326039 368652 430094 558924 645141 652078 860188 978117 1290282 1304156 1443887 1956234 2580564 2887774 3912468 4331661 5775548 8663322 10107209 17326644 20214418 30321627 40428836 60643254 121286508