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20158944 = 2531329557
BaseRepresentation
bin100110011100…
…1100111100000
31101221011212120
41030321213200
520130041234
62000024240
7333230301
oct114714740
941834776
1020158944
1110419793
126902080
13423a890
14296a7a8
151b83049
hex13399e0

20158944 has 96 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 5978112.

The previous prime is 20158937. The next prime is 20158961. The reversal of 20158944 is 44985102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 35914 + ... + 36470.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 220158944 is an apocalyptic number.

20158944 is a gapful number since it is divisible by the number (24) 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 20158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).

20158944 is an abundant number, since it is smaller than the sum of its proper divisors (38899776).

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

20158944 is a wasteful number, since it uses less digits than its factorization.

20158944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 20158944 is about 4489.8712676423. The cubic root of 20158944 is about 272.1589324908.

The spelling of 20158944 in words is "twenty million, one hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 557 624 696 754 928 1114 1131 1248 1392 1508 1671 2228 2262 2784 3016 3342 4456 4524 6032 6684 7241 8912 9048 12064 13368 14482 16153 17824 18096 21723 26736 28964 32306 36192 43446 48459 53472 57928 64612 86892 96918 115856 129224 173784 193836 209989 231712 258448 347568 387672 419978 516896 629967 695136 775344 839956 1259934 1550688 1679912 2519868 3359824 5039736 6719648 10079472 20158944