Search a number
-
+
19714640 = 2451143521
BaseRepresentation
bin100101100110…
…1001001010000
31101002121101212
41023031021100
520021332030
61542315252
7326400041
oct113151120
941077355
1019714640
11101459a0
126728b28
13411358a
1428928c8
151ae6595
hex12cd250

19714640 has 80 divisors (see below), whose sum is σ = 51264576. Its totient is φ = 6988800.

The previous prime is 19714633. The next prime is 19714663. The reversal of 19714640 is 4641791.

19714640 = T936 + T937 + ... + T978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 19714597 and 19714606.

It is a congruent number.

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, 37580 + ... + 38100.

Almost surely, 219714640 is an apocalyptic number.

19714640 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 19714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632288).

19714640 is an abundant number, since it is smaller than the sum of its proper divisors (31549936).

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

19714640 is a wasteful number, since it uses less digits than its factorization.

19714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 19714640 is about 4440.1171155725. The cubic root of 19714640 is about 270.1445956177.

The spelling of 19714640 in words is "nineteen million, seven hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 521 688 860 880 946 1042 1720 1892 2084 2365 2605 3440 3784 4168 4730 5210 5731 7568 8336 9460 10420 11462 18920 20840 22403 22924 28655 37840 41680 44806 45848 57310 89612 91696 112015 114620 179224 224030 229240 246433 358448 448060 458480 492866 896120 985732 1232165 1792240 1971464 2464330 3942928 4928660 9857320 19714640