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20267232 = 2532367137
BaseRepresentation
bin100110101010…
…0000011100000
31102010200102020
41031110003200
520142022412
62002221440
7334161066
oct115240340
942120366
1020267232
1110493087
126954880
134277c5b
142998036
151ba518c
hex13540e0

20267232 has 96 divisors (see below), whose sum is σ = 56754432. Its totient is φ = 6319104.

The previous prime is 20267227. The next prime is 20267239. The reversal of 20267232 is 23276202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20267239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147868 + ... + 148004.

It is an arithmetic number, because the mean of its divisors is an integer number (591192).

Almost surely, 220267232 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 20267232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28377216).

20267232 is an abundant number, since it is smaller than the sum of its proper divisors (36487200).

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

20267232 is a wasteful number, since it uses less digits than its factorization.

20267232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20267232 is about 4501.9142595123. The cubic root of 20267232 is about 272.6453821206.

The spelling of 20267232 in words is "twenty million, two hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 67 69 92 96 134 137 138 184 201 268 274 276 368 402 411 536 548 552 736 804 822 1072 1096 1104 1541 1608 1644 2144 2192 2208 3082 3151 3216 3288 4384 4623 6164 6302 6432 6576 9179 9246 9453 12328 12604 13152 18358 18492 18906 24656 25208 27537 36716 36984 37812 49312 50416 55074 73432 73968 75624 100832 110148 146864 147936 151248 211117 220296 293728 302496 422234 440592 633351 844468 881184 1266702 1688936 2533404 3377872 5066808 6755744 10133616 20267232