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19916712 = 23331923211
BaseRepresentation
bin100101111111…
…0011110101000
31101110212121000
41023332132220
520044313322
61550515000
7331201134
oct113763650
941425530
1019916712
11102737a2
126805a60
13418454a
1429063c4
151b363ac
hex12fe7a8

19916712 has 128 divisors (see below), whose sum is σ = 61056000. Its totient is φ = 5987520.

The previous prime is 19916671. The next prime is 19916713. The reversal of 19916712 is 21761991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19916713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94287 + ... + 94497.

It is an arithmetic number, because the mean of its divisors is an integer number (477000).

Almost surely, 219916712 is an apocalyptic number.

19916712 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 19916712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30528000).

19916712 is an abundant number, since it is smaller than the sum of its proper divisors (41139288).

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

19916712 is a wasteful number, since it uses less digits than its factorization.

19916712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 19916712 is about 4462.8143586755. The cubic root of 19916712 is about 271.0644400436.

The spelling of 19916712 in words is "nineteen million, nine hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 211 216 228 276 342 414 422 437 456 513 552 621 633 684 828 844 874 1026 1242 1266 1311 1368 1656 1688 1748 1899 2052 2484 2532 2622 3496 3798 3933 4009 4104 4853 4968 5064 5244 5697 7596 7866 8018 9706 10488 11394 11799 12027 14559 15192 15732 16036 19412 22788 23598 24054 29118 31464 32072 36081 38824 43677 45576 47196 48108 58236 72162 87354 92207 94392 96216 108243 116472 131031 144324 174708 184414 216486 262062 276621 288648 349416 368828 432972 524124 553242 737656 829863 865944 1048248 1106484 1659726 2212968 2489589 3319452 4979178 6638904 9958356 19916712