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20542464 = 21033743
BaseRepresentation
bin100111001011…
…1010000000000
31102122122222000
41032113100000
520224324324
62012144000
7336415365
oct116272000
942578860
1020542464
1110660948
126a68000
134343307
142a2a46c
151c0b9c9
hex1397400

20542464 has 88 divisors (see below), whose sum is σ = 60918720. Its totient is φ = 6838272.

The previous prime is 20542463. The next prime is 20542471. The reversal of 20542464 is 46424502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542463) 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, 27277 + ... + 28019.

Almost surely, 220542464 is an apocalyptic number.

20542464 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 20542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459360).

20542464 is an abundant number, since it is smaller than the sum of its proper divisors (40376256).

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

20542464 is an equidigital number, since it uses as much as digits as its factorization.

20542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 20542464 is about 4532.3795074993. The cubic root of 20542464 is about 273.8740252418.

Adding to 20542464 its reverse (46424502), we get a palindrome (66966966).

The spelling of 20542464 in words is "twenty million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 743 768 864 1024 1152 1486 1536 1728 2229 2304 2972 3072 3456 4458 4608 5944 6687 6912 8916 9216 11888 13374 13824 17832 20061 23776 26748 27648 35664 40122 47552 53496 71328 80244 95104 106992 142656 160488 190208 213984 285312 320976 380416 427968 570624 641952 760832 855936 1141248 1283904 1711872 2282496 2567808 3423744 5135616 6847488 10271232 20542464