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120921856 = 2811231867
BaseRepresentation
bin1110011010100…
…01111100000000
322102112110121021
413031101330000
5221423444411
615555435224
72665550566
oct715217400
9272473537
10120921856
1162291420
12345b5b14
131c08a6c3
14120b9a36
15a938a71
hex7351f00

120921856 has 72 divisors (see below), whose sum is σ = 274909824. Its totient is φ = 52546560.

The previous prime is 120921821. The next prime is 120921881. The reversal of 120921856 is 658129021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63835 + ... + 65701.

It is an arithmetic number, because the mean of its divisors is an integer number (3818192).

Almost surely, 2120921856 is an apocalyptic number.

120921856 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 120921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137454912).

120921856 is an abundant number, since it is smaller than the sum of its proper divisors (153987968).

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

120921856 is a wasteful number, since it uses less digits than its factorization.

120921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 120921856 is about 10996.4474263282. The cubic root of 120921856 is about 494.5022456220.

The spelling of 120921856 in words is "one hundred twenty million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 1012 1408 1472 1867 2024 2816 2944 3734 4048 5888 7468 8096 14936 16192 20537 29872 32384 41074 42941 59744 64768 82148 85882 119488 164296 171764 238976 328592 343528 472351 477952 657184 687056 944702 1314368 1374112 1889404 2628736 2748224 3778808 5257472 5496448 7557616 10992896 15115232 30230464 60460928 120921856