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19714440 = 2335414007
BaseRepresentation
bin100101100110…
…1000110001000
31101002121010110
41023031012020
520021330230
61542314320
7326366334
oct113150610
941077113
1019714440
1110145829
1267289a0
134113465
1428927c4
151ae64b0
hex12cd188

19714440 has 64 divisors (see below), whose sum is σ = 60600960. Its totient is φ = 5127680.

The previous prime is 19714439. The next prime is 19714459. The reversal of 19714440 is 4441791.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 19714398 and 19714407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (946890).

Almost surely, 219714440 is an apocalyptic number.

19714440 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 19714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30300480).

19714440 is an abundant number, since it is smaller than the sum of its proper divisors (40886520).

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

19714440 is a wasteful number, since it uses less digits than its factorization.

19714440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 19714440 is about 4440.0945935869. The cubic root of 19714440 is about 270.1436820985.

The spelling of 19714440 in words is "nineteen million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4007 4920 8014 12021 16028 20035 24042 32056 40070 48084 60105 80140 96168 120210 160280 164287 240420 328574 480840 492861 657148 821435 985722 1314296 1642870 1971444 2464305 3285740 3942888 4928610 6571480 9857220 19714440