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20029240 = 2357211929
BaseRepresentation
bin100110001100…
…1111100111000
31101200120221201
41030121330320
520111413430
61553143544
7332150200
oct114317470
941616851
1020029240
11103402a0
12685abb4
1341c382a
142935400
151b598ca
hex1319f38

20029240 has 96 divisors (see below), whose sum is σ = 57250800. Its totient is φ = 6236160.

The previous prime is 20029199. The next prime is 20029241. The reversal of 20029240 is 4292002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20029241) 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 23 ways as a sum of consecutive naturals, for example, 21096 + ... + 22024.

Almost surely, 220029240 is an apocalyptic number.

20029240 is a gapful number since it is divisible by the number (20) 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 20029240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625400).

20029240 is an abundant number, since it is smaller than the sum of its proper divisors (37221560).

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

20029240 is a wasteful number, since it uses less digits than its factorization.

20029240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20029240 is about 4475.4038923878. The cubic root of 20029240 is about 271.5739798646.

The spelling of 20029240 in words is "twenty million, twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 929 980 1078 1540 1858 1960 2156 2695 3080 3716 4312 4645 5390 6503 7432 9290 10219 10780 13006 18580 20438 21560 26012 32515 37160 40876 45521 51095 52024 65030 71533 81752 91042 102190 130060 143066 182084 204380 227605 260120 286132 357665 364168 408760 455210 500731 572264 715330 910420 1001462 1430660 1820840 2002924 2503655 2861320 4005848 5007310 10014620 20029240