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20193048 = 23321929509
BaseRepresentation
bin100110100000…
…1111100011000
31101222220122200
41031001330120
520132134143
62000450200
7333431601
oct115017430
941886580
1020193048
1110442377
126919960
134250265
142978da8
151b8d1d3
hex1341f18

20193048 has 96 divisors (see below), whose sum is σ = 59670000. Its totient is φ = 6144768.

The previous prime is 20193037. The next prime is 20193073. The reversal of 20193048 is 84039102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39418 + ... + 39926.

Almost surely, 220193048 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 20193048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835000).

20193048 is an abundant number, since it is smaller than the sum of its proper divisors (39476952).

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

20193048 is a wasteful number, since it uses less digits than its factorization.

20193048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20193048 is about 4493.6675444452. The cubic root of 20193048 is about 272.3123214617.

The spelling of 20193048 in words is "twenty million, one hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 509 522 551 684 696 1018 1044 1102 1368 1527 1653 2036 2088 2204 3054 3306 4072 4408 4581 4959 6108 6612 9162 9671 9918 12216 13224 14761 18324 19342 19836 29013 29522 36648 38684 39672 44283 58026 59044 77368 87039 88566 116052 118088 132849 174078 177132 232104 265698 280459 348156 354264 531396 560918 696312 841377 1062792 1121836 1682754 2243672 2524131 3365508 5048262 6731016 10096524 20193048