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121493856 = 253111031117
BaseRepresentation
bin1110011110111…
…01100101100000
322110121112020110
413033131211200
5222100300411
620020011320
73003452331
oct717354540
9273545213
10121493856
1162642150
1234830b40
131c22ab73
14121c8288
15a9ed2a6
hex73dd960

121493856 has 96 divisors (see below), whose sum is σ = 351606528. Its totient is φ = 36426240.

The previous prime is 121493839. The next prime is 121493887. The reversal of 121493856 is 658394121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108210 + ... + 109326.

It is an arithmetic number, because the mean of its divisors is an integer number (3662568).

Almost surely, 2121493856 is an apocalyptic number.

121493856 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 121493856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175803264).

121493856 is an abundant number, since it is smaller than the sum of its proper divisors (230112672).

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

121493856 is a wasteful number, since it uses less digits than its factorization.

121493856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 121493856 is about 11022.4251415013. The cubic root of 121493856 is about 495.2807386169.

The spelling of 121493856 in words is "one hundred twenty-one million, four hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1117 1133 1236 1648 2234 2266 2472 3296 3351 3399 4468 4532 4944 6702 6798 8936 9064 9888 12287 13404 13596 17872 18128 24574 26808 27192 35744 36256 36861 49148 53616 54384 73722 98296 107232 108768 115051 147444 196592 230102 294888 345153 393184 460204 589776 690306 920408 1179552 1265561 1380612 1840816 2531122 2761224 3681632 3796683 5062244 5522448 7593366 10124488 11044896 15186732 20248976 30373464 40497952 60746928 121493856