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20157552 = 2433291609
BaseRepresentation
bin100110011100…
…1010001110000
31101221002222000
41030321101300
520130020202
62000014000
7333223242
oct114712160
941832860
1020157552
1110418738
126901300
13423a05c
14296a092
151b8291c
hex1339470

20157552 has 80 divisors (see below), whose sum is σ = 59892000. Its totient is φ = 6483456.

The previous prime is 20157551. The next prime is 20157587. The reversal of 20157552 is 25575102.

It is a happy number.

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 (20157551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11724 + ... + 13332.

It is an arithmetic number, because the mean of its divisors is an integer number (748650).

Almost surely, 220157552 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 20157552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29946000).

20157552 is an abundant number, since it is smaller than the sum of its proper divisors (39734448).

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

20157552 is a wasteful number, since it uses less digits than its factorization.

20157552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 20157552 is about 4489.7162493859. The cubic root of 20157552 is about 272.1526680431.

The spelling of 20157552 in words is "twenty million, one hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 1609 2088 3132 3218 4176 4827 6264 6436 9654 12528 12872 14481 19308 25744 28962 38616 43443 46661 57924 77232 86886 93322 115848 139983 173772 186644 231696 279966 347544 373288 419949 559932 695088 746576 839898 1119864 1259847 1679796 2239728 2519694 3359592 5039388 6719184 10078776 20157552