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20193648 = 2433141331
BaseRepresentation
bin100110100001…
…0000101110000
31101222221110220
41031002011300
520132144043
62000453040
7333433416
oct115020560
941887426
1020193648
1110442872
12691a180
134250607
1429792b6
151b8d483
hex1342170

20193648 has 80 divisors (see below), whose sum is σ = 55329792. Its totient is φ = 6336000.

The previous prime is 20193647. The next prime is 20193653. The reversal of 20193648 is 84639102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193647) 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, 60843 + ... + 61173.

Almost surely, 220193648 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 20193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27664896).

20193648 is an abundant number, since it is smaller than the sum of its proper divisors (35136144).

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

20193648 is a wasteful number, since it uses less digits than its factorization.

20193648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20193648 is about 4493.7343045623. The cubic root of 20193648 is about 272.3150185248.

The spelling of 20193648 in words is "twenty million, one hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 331 372 492 496 656 662 744 984 993 1271 1324 1488 1968 1986 2542 2648 3813 3972 5084 5296 7626 7944 10168 10261 13571 15252 15888 20336 20522 27142 30504 30783 40713 41044 54284 61008 61566 81426 82088 108568 123132 162852 164176 217136 246264 325704 420701 492528 651408 841402 1262103 1682804 2524206 3365608 5048412 6731216 10096824 20193648