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19957014 = 2327211317
BaseRepresentation
bin100110000100…
…0010100010110
31101112220212200
41030020110112
520102111024
61551425330
7331426500
oct114102426
941486780
1019957014
11102a1000
126825246
1341999ac
142916d70
151b432c9
hex1308516

19957014 has 144 divisors (see below), whose sum is σ = 58580496. Its totient is φ = 4878720.

The previous prime is 19957009. The next prime is 19957033. The reversal of 19957014 is 41075991.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19957014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1173934 + ... + 1173950.

It is an arithmetic number, because the mean of its divisors is an integer number (406809).

Almost surely, 219957014 is an apocalyptic number.

19957014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19957014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290248).

19957014 is an abundant number, since it is smaller than the sum of its proper divisors (38623482).

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

19957014 is a wasteful number, since it uses less digits than its factorization.

19957014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 19957014 is about 4467.3273889430. The cubic root of 19957014 is about 271.2471522420.

It can be divided in two parts, 1995 and 7014, that added together give a palindrome (9009).

The spelling of 19957014 in words is "nineteen million, nine hundred fifty-seven thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 49 51 63 66 77 98 99 102 119 121 126 147 153 154 187 198 231 238 242 294 306 357 363 374 441 462 539 561 693 714 726 833 847 882 1071 1078 1089 1122 1309 1331 1386 1617 1666 1683 1694 2057 2142 2178 2499 2541 2618 2662 3234 3366 3927 3993 4114 4851 4998 5082 5929 6171 7497 7623 7854 7986 9163 9317 9702 11781 11858 11979 12342 14399 14994 15246 17787 18326 18513 18634 22627 23562 23958 27489 27951 28798 35574 37026 43197 45254 53361 54978 55902 65219 67881 82467 83853 86394 100793 106722 129591 130438 135762 158389 164934 167706 195657 201586 203643 259182 302379 316778 391314 407286 475167 586971 604758 907137 950334 1108723 1173942 1425501 1814274 2217446 2851002 3326169 6652338 9978507 19957014