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20487744 = 263235569
BaseRepresentation
bin100111000100…
…1111001000000
31102112212220100
41032021321000
520221101434
62011042400
7336100014
oct116117100
942485810
1020487744
1110623822
126a40400
134324434
142a14544
151bea699
hex1389e40

20487744 has 42 divisors (see below), whose sum is σ = 58726070. Its totient is φ = 6829056.

The previous prime is 20487743. The next prime is 20487763. The reversal of 20487744 is 44778402.

It can be written as a sum of positive squares in only one way, i.e., 20358144 + 129600 = 4512^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20487699 and 20487708.

It is not an unprimeable number, because it can be changed into a prime (20487743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17209 + ... + 18360.

Almost surely, 220487744 is an apocalyptic number.

20487744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20487744 is an abundant number, since it is smaller than the sum of its proper divisors (38238326).

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

20487744 is a wasteful number, since it uses less digits than its factorization.

20487744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35587 (or 35574 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 20487744 is about 4526.3389179336. The cubic root of 20487744 is about 273.6306316376.

The spelling of 20487744 in words is "twenty million, four hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35569 71138 106707 142276 213414 284552 320121 426828 569104 640242 853656 1138208 1280484 1707312 2276416 2560968 3414624 5121936 6829248 10243872 20487744