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121418752 = 2107131303
BaseRepresentation
bin1110011110010…
…11010000000000
322110110201012211
413033023100000
5222040400002
620014231504
73003020350
oct717132000
9273421184
10121418752
11625a0784
12347b5594
131c202920
14121a8b60
15a9d5dd7
hex73cb400

121418752 has 88 divisors (see below), whose sum is σ = 298960256. Its totient is φ = 47996928.

The previous prime is 121418747. The next prime is 121418761. The reversal of 121418752 is 257814121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92533 + ... + 93835.

Almost surely, 2121418752 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 121418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149480128).

121418752 is an abundant number, since it is smaller than the sum of its proper divisors (177541504).

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

121418752 is a wasteful number, since it uses less digits than its factorization.

121418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1325 counting only the distinct ones).

The product of its digits is 4480, while the sum is 31.

The square root of 121418752 is about 11019.0177420676. The cubic root of 121418752 is about 495.1786614879.

The spelling of 121418752 in words is "one hundred twenty-one million, four hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1303 1456 1664 1792 2606 2912 3328 3584 5212 5824 6656 7168 9121 10424 11648 13312 16939 18242 20848 23296 33878 36484 41696 46592 67756 72968 83392 93184 118573 135512 145936 166784 237146 271024 291872 333568 474292 542048 583744 667136 948584 1084096 1167488 1334272 1897168 2168192 2334976 3794336 4336384 4669952 7588672 8672768 9339904 15177344 17345536 30354688 60709376 121418752