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121433856 = 2831771131
BaseRepresentation
bin1110011110011…
…10111100000000
322110111110221020
413033032330000
5222041340411
620014425440
73003112365
oct717167400
9273443836
10121433856
1162601065
1234802280
131c20976b
14121b046c
15a9da606
hex73cef00

121433856 has 144 divisors (see below), whose sum is σ = 349671168. Its totient is φ = 37273600.

The previous prime is 121433843. The next prime is 121433857. The reversal of 121433856 is 658334121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121433857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926911 + ... + 927041.

It is an arithmetic number, because the mean of its divisors is an integer number (2428272).

Almost surely, 2121433856 is an apocalyptic number.

121433856 is a gapful number since it is divisible by the number (16) 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 121433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

121433856 is an abundant number, since it is smaller than the sum of its proper divisors (228237312).

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

121433856 is a wasteful number, since it uses less digits than its factorization.

121433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 121433856 is about 11019.7030812994. The cubic root of 121433856 is about 495.1991933752.

Adding to 121433856 its reverse (658334121), we get a palindrome (779767977).

The spelling of 121433856 in words is "one hundred twenty-one million, four hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 128 131 136 142 192 204 213 256 262 272 284 384 393 408 426 524 544 568 768 786 816 852 1048 1088 1136 1207 1572 1632 1704 2096 2176 2227 2272 2414 3144 3264 3408 3621 4192 4352 4454 4544 4828 6288 6528 6681 6816 7242 8384 8908 9088 9301 9656 12576 13056 13362 13632 14484 16768 17816 18176 18602 19312 25152 26724 27264 27903 28968 33536 35632 37204 38624 50304 53448 54528 55806 57936 71264 74408 77248 100608 106896 111612 115872 142528 148816 154496 158117 213792 223224 231744 285056 297632 308992 316234 427584 446448 463488 474351 570112 595264 632468 855168 892896 926976 948702 1190528 1264936 1710336 1785792 1897404 2381056 2529872 3571584 3794808 5059744 7143168 7589616 10119488 15179232 20238976 30358464 40477952 60716928 121433856