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19742712 = 23311175383
BaseRepresentation
bin100101101001…
…1111111111000
31101011000220120
41023103333320
520023231322
61543053240
7326544633
oct113237770
941130816
1019742712
1110164aa0
126741220
1341232a2
14289cc1a
151aeea5c
hex12d3ff8

19742712 has 128 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 5457920.

The previous prime is 19742699. The next prime is 19742741. The reversal of 19742712 is 21724791.

It is a super-2 number, since 2×197427122 = 779549354229888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237823 + ... + 237905.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 219742712 is an apocalyptic number.

19742712 is a gapful number since it is divisible by the number (12) 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 19742712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

19742712 is an abundant number, since it is smaller than the sum of its proper divisors (39043848).

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

19742712 is a wasteful number, since it uses less digits than its factorization.

19742712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 19742712 is about 4443.2771689374. The cubic root of 19742712 is about 270.2727559173.

The spelling of 19742712 in words is "nineteen million, seven hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 53 66 68 83 88 102 106 132 136 159 166 187 204 212 249 264 318 332 374 408 424 498 561 583 636 664 748 901 913 996 1122 1166 1272 1411 1496 1749 1802 1826 1992 2244 2332 2703 2739 2822 3498 3604 3652 4233 4399 4488 4664 5406 5478 5644 6996 7208 7304 8466 8798 9911 10812 10956 11288 13197 13992 15521 16932 17596 19822 21624 21912 26394 29733 31042 33864 35192 39644 46563 48389 52788 59466 62084 74783 79288 93126 96778 105576 118932 124168 145167 149566 186252 193556 224349 237864 290334 299132 372504 387112 448698 580668 598264 822613 897396 1161336 1645226 1794792 2467839 3290452 4935678 6580904 9871356 19742712