Search a number
-
+
121408848 = 24331129881
BaseRepresentation
bin1110011110010…
…00110101010000
322110110012122000
413033020311100
5222040040343
620014114000
73002646441
oct717106520
9273405560
10121408848
11625942a0
12347ab900
131c1cb272
14121a52c8
15a9d2ed3
hex73c8d50

121408848 has 160 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 35481600.

The previous prime is 121408829. The next prime is 121408853. The reversal of 121408848 is 848804121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137368 + ... + 138248.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2121408848 is an apocalyptic number.

121408848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121408848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

121408848 is an abundant number, since it is smaller than the sum of its proper divisors (272315952).

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

121408848 is a wasteful number, since it uses less digits than its factorization.

121408848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 121408848 is about 11018.5683280542. The cubic root of 121408848 is about 495.1651973874.

The spelling of 121408848 in words is "one hundred twenty-one million, four hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 881 957 1044 1188 1276 1392 1566 1584 1762 1914 2088 2376 2552 2643 2871 3132 3524 3828 4176 4752 5104 5286 5742 6264 7048 7656 7929 8613 9691 10572 11484 12528 14096 15312 15858 17226 19382 21144 22968 23787 25549 29073 31716 34452 38764 42288 45936 47574 51098 58146 63432 68904 76647 77528 87219 95148 102196 116292 126864 137808 153294 155056 174438 190296 204392 229941 232584 261657 281039 306588 348876 380592 408784 459882 465168 523314 562078 613176 689823 697752 843117 919764 1046628 1124156 1226352 1379646 1395504 1686234 1839528 2093256 2248312 2529351 2759292 3372468 3679056 4186512 4496624 5058702 5518584 6744936 7588053 10117404 11037168 13489872 15176106 20234808 30352212 40469616 60704424 121408848