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20878144 = 267291607
BaseRepresentation
bin100111110100…
…1001101000000
31110021201102121
41033221031000
520321100034
62023254024
7342314140
oct117511500
943251377
1020878144
1110870071
126baa314
134430041
142ab6920
151c761b4
hex13e9340

20878144 has 56 divisors (see below), whose sum is σ = 49011840. Its totient is φ = 8633856.

The previous prime is 20878133. The next prime is 20878163. The reversal of 20878144 is 44187802.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 12189 + ... + 13795.

Almost surely, 220878144 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 20878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24505920).

20878144 is an abundant number, since it is smaller than the sum of its proper divisors (28133696).

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

20878144 is a wasteful number, since it uses less digits than its factorization.

20878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 20878144 is about 4569.2607717223. The cubic root of 20878144 is about 275.3577448796.

The spelling of 20878144 in words is "twenty million, eight hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1607 1624 1856 3214 3248 6428 6496 11249 12856 12992 22498 25712 44996 46603 51424 89992 93206 102848 179984 186412 326221 359968 372824 652442 719936 745648 1304884 1491296 2609768 2982592 5219536 10439072 20878144