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21123144 = 2332741911
BaseRepresentation
bin101000010010…
…1000001001000
31110202011111200
41100211001020
520401420034
62032424200
7344354340
oct120450110
943664450
1021123144
1110a18149
1270a8060
1344b7703
142b3bd20
151cc3a99
hex1425048

21123144 has 48 divisors (see below), whose sum is σ = 65382720. Its totient is φ = 6035040.

The previous prime is 21123143. The next prime is 21123149. The reversal of 21123144 is 44132112.

21123144 = T127 + T128 + ... + T504.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21123143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20452 + ... + 21459.

It is an arithmetic number, because the mean of its divisors is an integer number (1362140).

Almost surely, 221123144 is an apocalyptic number.

21123144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21123144 is an abundant number, since it is smaller than the sum of its proper divisors (44259576).

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

21123144 is a wasteful number, since it uses less digits than its factorization.

21123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41930 (or 41923 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21123144 is about 4595.9921670952. The cubic root of 21123144 is about 276.4306446630.

Adding to 21123144 its reverse (44132112), we get a palindrome (65255256).

The spelling of 21123144 in words is "twenty-one million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 41911 83822 125733 167644 251466 293377 335288 377199 502932 586754 754398 880131 1005864 1173508 1508796 1760262 2347016 2640393 3017592 3520524 5280786 7041048 10561572 21123144