Search a number
-
+
19817742 = 237312491
BaseRepresentation
bin100101110011…
…0010100001110
31101021211211110
41023212110032
520033131432
61544432450
7330306450
oct113462416
941254743
1019817742
11102063aa
126778726
13414b499
1428bc2d0
151b16dcc
hex12e650e

19817742 has 48 divisors (see below), whose sum is σ = 46901376. Its totient is φ = 5468400.

The previous prime is 19817737. The next prime is 19817747. The reversal of 19817742 is 24771891.

It is an interprime number because it is at equal distance from previous prime (19817737) and next prime (19817747).

It is a self number, because there is not a number n which added to its sum of digits gives 19817742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19817747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40117 + ... + 40607.

It is an arithmetic number, because the mean of its divisors is an integer number (977112).

Almost surely, 219817742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19817742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23450688).

19817742 is an abundant number, since it is smaller than the sum of its proper divisors (27083634).

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

19817742 is a wasteful number, since it uses less digits than its factorization.

19817742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 534 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 19817742 is about 4451.7122548521. The cubic root of 19817742 is about 270.6147037065.

The spelling of 19817742 in words is "nineteen million, eight hundred seventeen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 491 651 961 982 1302 1473 1922 2883 2946 3437 5766 6727 6874 10311 13454 15221 20181 20622 30442 40362 45663 91326 106547 213094 319641 471851 639282 943702 1415553 2831106 3302957 6605914 9908871 19817742