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14146056 = 233379829
BaseRepresentation
bin110101111101…
…101000001000
3222121200202000
4311331220020
512110133211
61223111000
7231145101
oct65755010
928550660
1014146056
117a92161
1248a2460
132c13a62
141c433a8
151396656
hexd7da08

14146056 has 64 divisors (see below), whose sum is σ = 39840000. Its totient is φ = 4650048.

The previous prime is 14146049. The next prime is 14146079. The reversal of 14146056 is 65064141.

14146056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141460562 = 400221800710272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16650 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (622500).

Almost surely, 214146056 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 14146056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920000).

14146056 is an abundant number, since it is smaller than the sum of its proper divisors (25693944).

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

14146056 is a wasteful number, since it uses less digits than its factorization.

14146056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14146056 is about 3761.1242999933. The cubic root of 14146056 is about 241.8494612781.

It can be divided in two parts, 14 and 146056, that added together give a triangular number (146070 = T540).

The spelling of 14146056 in words is "fourteen million, one hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 829 948 1422 1658 1896 2133 2487 2844 3316 4266 4974 5688 6632 7461 8532 9948 14922 17064 19896 22383 29844 44766 59688 65491 89532 130982 179064 196473 261964 392946 523928 589419 785892 1178838 1571784 1768257 2357676 3536514 4715352 7073028 14146056