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20145944 = 2371327673
BaseRepresentation
bin100110011011…
…0011100011000
31101220112001002
41030312130120
520124132234
61555444132
7333144350
oct114663430
941815032
1020145944
111040aa45
1268b6648
1342349a0
142965b60
151b7e27e
hex1336718

20145944 has 32 divisors (see below), whose sum is σ = 46492320. Its totient is φ = 7969536.

The previous prime is 20145943. The next prime is 20145949. The reversal of 20145944 is 44954102.

It is a super-3 number, since 3×201459443 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13109 + ... + 14564.

It is an arithmetic number, because the mean of its divisors is an integer number (1452885).

Almost surely, 220145944 is an apocalyptic number.

It is an amenable number.

20145944 is an abundant number, since it is smaller than the sum of its proper divisors (26346376).

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

20145944 is a wasteful number, since it uses less digits than its factorization.

20145944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27699 (or 27695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 20145944 is about 4488.4233311933. The cubic root of 20145944 is about 272.1004170757.

The spelling of 20145944 in words is "twenty million, one hundred forty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 27673 55346 110692 193711 221384 359749 387422 719498 774844 1438996 1549688 2518243 2877992 5036486 10072972 20145944