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19714680 = 23325232381
BaseRepresentation
bin100101100110…
…1001001111000
31101002121110100
41023031021320
520021332210
61542315400
7326400126
oct113151170
941077410
1019714680
1110145a27
126728b60
1341135bb
142892916
151ae65c0
hex12cd278

19714680 has 96 divisors (see below), whose sum is σ = 66886560. Its totient is φ = 5026560.

The previous prime is 19714663. The next prime is 19714699. The reversal of 19714680 is 8641791.

19714680 is a `hidden beast` number, since 197 + 1 + 468 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7090 + ... + 9470.

It is an arithmetic number, because the mean of its divisors is an integer number (696735).

Almost surely, 219714680 is an apocalyptic number.

19714680 is a gapful number since it is divisible by the number (10) 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 19714680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33443280).

19714680 is an abundant number, since it is smaller than the sum of its proper divisors (47171880).

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

19714680 is a wasteful number, since it uses less digits than its factorization.

19714680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 19714680 is about 4440.1216199559. The cubic root of 19714680 is about 270.1447783207.

The spelling of 19714680 in words is "nineteen million, seven hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2381 2760 4140 4762 7143 8280 9524 11905 14286 19048 21429 23810 28572 35715 42858 47620 54763 57144 71430 85716 95240 107145 109526 142860 164289 171432 214290 219052 273815 285720 328578 428580 438104 492867 547630 657156 821445 857160 985734 1095260 1314312 1642890 1971468 2190520 2464335 3285780 3942936 4928670 6571560 9857340 19714680