Search a number
-
+
19542040 = 235771983
BaseRepresentation
bin100101010001…
…1000000011000
31100202211122021
41022203000120
520000321130
61534504224
7325050610
oct112430030
940684567
1019542040
1110038251
126665074
134082b4b
142849a40
151ab037a
hex12a3018

19542040 has 64 divisors (see below), whose sum is σ = 51010560. Its totient is φ = 6599040.

The previous prime is 19542011. The next prime is 19542041. The reversal of 19542040 is 4024591.

It is a junction number, because it is equal to n+sod(n) for n = 19541996 and 19542014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19542041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19389 + ... + 20371.

It is an arithmetic number, because the mean of its divisors is an integer number (797040).

Almost surely, 219542040 is an apocalyptic number.

19542040 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 19542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25505280).

19542040 is an abundant number, since it is smaller than the sum of its proper divisors (31468520).

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

19542040 is a wasteful number, since it uses less digits than its factorization.

19542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 19542040 is about 4420.6379630094. The cubic root of 19542040 is about 269.3539193384.

The spelling of 19542040 in words is "nineteen million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 983 994 1420 1966 1988 2485 2840 3932 3976 4915 4970 6881 7864 9830 9940 13762 19660 19880 27524 34405 39320 55048 68810 69793 137620 139586 275240 279172 348965 488551 558344 697930 977102 1395860 1954204 2442755 2791720 3908408 4885510 9771020 19542040