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20155744 = 257176779
BaseRepresentation
bin100110011100…
…0110101100000
31101221000111001
41030320311200
520124440434
62000001344
7333215050
oct114706540
941830431
1020155744
1110417344
126900254
13423929b
142969560
151b82114
hex1338d60

20155744 has 96 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 7907328.

The previous prime is 20155703. The next prime is 20155747. The reversal of 20155744 is 44755102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20155747) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 255097 + ... + 255175.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 220155744 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 20155744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

20155744 is an abundant number, since it is smaller than the sum of its proper divisors (29195936).

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

20155744 is a wasteful number, since it uses less digits than its factorization.

20155744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 20155744 is about 4489.5148958434. The cubic root of 20155744 is about 272.1445310309.

It can be divided in two parts, 201557 and 44, that added together give a square (201601 = 4492).

The spelling of 20155744 in words is "twenty million, one hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 67 68 79 112 119 134 136 158 224 238 268 272 316 469 476 536 544 553 632 938 952 1072 1106 1139 1264 1343 1876 1904 2144 2212 2278 2528 2686 3752 3808 4424 4556 5293 5372 7504 7973 8848 9112 9401 10586 10744 15008 15946 17696 18224 18802 21172 21488 31892 36448 37051 37604 42344 42976 63784 74102 75208 84688 89981 127568 148204 150416 169376 179962 255136 296408 300832 359924 592816 629867 719848 1185632 1259734 1439696 2519468 2879392 5038936 10077872 20155744