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21240144 = 2437607
BaseRepresentation
bin101000100000…
…1100101010000
31110222010000000
41101001211100
520414141034
62035130000
7345352422
oct121014520
943863000
1021240144
1110a98042
127143900
134528a43
142b6c812
151ce8599
hex1441950

21240144 has 80 divisors (see below), whose sum is σ = 61821440. Its totient is φ = 7068384.

The previous prime is 21240133. The next prime is 21240161. The reversal of 21240144 is 44104212.

It is a super-2 number, since 2×212401442 = 902287434281472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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, 34689 + ... + 35295.

It is an arithmetic number, because the mean of its divisors is an integer number (772768).

Almost surely, 221240144 is an apocalyptic number.

21240144 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 21240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30910720).

21240144 is an abundant number, since it is smaller than the sum of its proper divisors (40581296).

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

21240144 is an frugal number, since it uses more digits than its factorization.

21240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 21240144 is about 4608.7030713640. The cubic root of 21240144 is about 276.9400835709.

Adding to 21240144 its reverse (44104212), we get a palindrome (65344356).

The spelling of 21240144 in words is "twenty-one million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 607 648 729 972 1214 1296 1458 1821 1944 2187 2428 2916 3642 3888 4374 4856 5463 5832 7284 8748 9712 10926 11664 14568 16389 17496 21852 29136 32778 34992 43704 49167 65556 87408 98334 131112 147501 196668 262224 295002 393336 442503 590004 786672 885006 1180008 1327509 1770012 2360016 2655018 3540024 5310036 7080048 10620072 21240144