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20037424 = 24111737181
BaseRepresentation
bin100110001101…
…1111100110000
31101201000011211
41030123330300
520112144144
61553245504
7332213101
oct114337460
941630154
1020037424
1110346460
126863894
1341c7484
1429383a8
151b5c034
hex131bf30

20037424 has 80 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 8294400.

The previous prime is 20037421. The next prime is 20037443. The reversal of 20037424 is 42473002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20037395 and 20037404.

It is not an unprimeable number, because it can be changed into a prime (20037421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110614 + ... + 110794.

Almost surely, 220037424 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 20037424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

20037424 is an abundant number, since it is smaller than the sum of its proper divisors (26272112).

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

20037424 is a wasteful number, since it uses less digits than its factorization.

20037424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 20037424 is about 4476.3181298920. The cubic root of 20037424 is about 271.6109634413.

The spelling of 20037424 in words is "twenty million, thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 181 187 272 296 362 374 407 592 629 724 748 814 1258 1448 1496 1628 1991 2516 2896 2992 3077 3256 3982 5032 6154 6512 6697 6919 7964 10064 12308 13394 13838 15928 24616 26788 27676 31856 33847 49232 53576 55352 67694 73667 107152 110704 113849 135388 147334 227698 270776 294668 455396 541552 589336 910792 1178672 1252339 1821584 2504678 5009356 10018712 20037424