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20245248 = 283329101
BaseRepresentation
bin100110100111…
…0101100000000
31102002120021000
41031032230000
520140321443
62001532000
7334040022
oct115165400
942076230
1020245248
1110478611
126944000
13426ac4a
142990012
151b9d8d3
hex134eb00

20245248 has 144 divisors (see below), whose sum is σ = 62546400. Its totient is φ = 6451200.

The previous prime is 20245237. The next prime is 20245259. The reversal of 20245248 is 84254202.

It is a happy number.

20245248 is a `hidden beast` number, since 202 + 452 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20245237) and next prime (20245259).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200398 + ... + 200498.

It is an arithmetic number, because the mean of its divisors is an integer number (434350).

Almost surely, 220245248 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 20245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31273200).

20245248 is an abundant number, since it is smaller than the sum of its proper divisors (42301152).

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

20245248 is a wasteful number, since it uses less digits than its factorization.

20245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20245248 is about 4499.4719690204. The cubic root of 20245248 is about 272.5467663752.

It can be divided in two parts, 202452 and 48, that added together give a square (202500 = 4502).

The spelling of 20245248 in words is "twenty million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 101 108 116 128 144 174 192 202 216 232 256 261 288 303 348 384 404 432 464 522 576 606 696 768 783 808 864 909 928 1044 1152 1212 1392 1566 1616 1728 1818 1856 2088 2304 2424 2727 2784 2929 3132 3232 3456 3636 3712 4176 4848 5454 5568 5858 6264 6464 6912 7272 7424 8352 8787 9696 10908 11136 11716 12528 12928 14544 16704 17574 19392 21816 22272 23432 25056 25856 26361 29088 33408 35148 38784 43632 46864 50112 52722 58176 66816 70296 77568 79083 87264 93728 100224 105444 116352 140592 158166 174528 187456 200448 210888 232704 281184 316332 349056 374912 421776 562368 632664 698112 749824 843552 1124736 1265328 1687104 2249472 2530656 3374208 5061312 6748416 10122624 20245248