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20402712 = 23331131277
BaseRepresentation
bin100110111010…
…1001000011000
31102101120021000
41031311020120
520210341322
62005145000
7335264061
oct115651030
942346230
1020402712
1110575950
1269bb160
1342c4815
1429d1568
151bd03ac
hex1375218

20402712 has 128 divisors (see below), whose sum is σ = 64051200. Its totient is φ = 5961600.

The previous prime is 20402693. The next prime is 20402717. The reversal of 20402712 is 21720402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402717) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73518 + ... + 73794.

It is an arithmetic number, because the mean of its divisors is an integer number (500400).

Almost surely, 220402712 is an apocalyptic number.

20402712 is a gapful number since it is divisible by the number (22) 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 20402712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32025600).

20402712 is an abundant number, since it is smaller than the sum of its proper divisors (43648488).

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

20402712 is a wasteful number, since it uses less digits than its factorization.

20402712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20402712 is about 4516.9361297233. The cubic root of 20402712 is about 273.2515493305.

The spelling of 20402712 in words is "twenty million, four hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 277 279 297 341 372 396 554 558 594 682 744 792 831 837 1023 1108 1116 1188 1364 1662 1674 2046 2216 2232 2376 2493 2728 3047 3069 3324 3348 4092 4986 6094 6138 6648 6696 7479 8184 8587 9141 9207 9972 12188 12276 14958 17174 18282 18414 19944 24376 24552 25761 27423 29916 34348 36564 36828 51522 54846 59832 68696 73128 73656 77283 82269 94457 103044 109692 154566 164538 188914 206088 219384 231849 283371 309132 329076 377828 463698 566742 618264 658152 755656 850113 927396 1133484 1700226 1854792 2266968 2550339 3400452 5100678 6800904 10201356 20402712