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20846144 = 261129611
BaseRepresentation
bin100111110000…
…1011001000000
31110020002112102
41033201121000
520314034034
62022445532
7342121634
oct117413100
943202472
1020846144
1110849020
126b938a8
13441b5c7
142aa8dc4
151c6b97e
hex13e1640

20846144 has 28 divisors (see below), whose sum is σ = 45128688. Its totient is φ = 9475200.

The previous prime is 20846129. The next prime is 20846153. The reversal of 20846144 is 44164802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14102 + ... + 15509.

Almost surely, 220846144 is an apocalyptic number.

It is an amenable number.

20846144 is an abundant number, since it is smaller than the sum of its proper divisors (24282544).

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

20846144 is a wasteful number, since it uses less digits than its factorization.

With its successor (20846145) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (29624).

20846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29634 (or 29624 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 20846144 is about 4565.7577684323. The cubic root of 20846144 is about 275.2169923706.

It can be divided in two parts, 2084 and 6144, that added together give a palindrome (8228).

The spelling of 20846144 in words is "twenty million, eight hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 29611 59222 118444 236888 325721 473776 651442 947552 1302884 1895104 2605768 5211536 10423072 20846144