Search a number
-
+
19122040 = 2357312203
BaseRepresentation
bin100100011110…
…0011101111000
31022222111111201
41020330131320
514343401130
61521503544
7321351250
oct110743570
938874451
1019122040
11a880743
1264a1bb4
133c66922
14277a960
151a2abca
hex123c778

19122040 has 64 divisors (see below), whose sum is σ = 50780160. Its totient is φ = 6341760.

The previous prime is 19122023. The next prime is 19122079. The reversal of 19122040 is 4022191.

It is a junction number, because it is equal to n+sod(n) for n = 19121999 and 19122017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7579 + ... + 9781.

It is an arithmetic number, because the mean of its divisors is an integer number (793440).

Almost surely, 219122040 is an apocalyptic number.

19122040 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 19122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25390080).

19122040 is an abundant number, since it is smaller than the sum of its proper divisors (31658120).

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

19122040 is a wasteful number, since it uses less digits than its factorization.

19122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 19122040 is about 4372.8754841637. The cubic root of 19122040 is about 267.4102648321.

The spelling of 19122040 in words is "nineteen million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 2203 4340 4406 8680 8812 11015 15421 17624 22030 30842 44060 61684 68293 77105 88120 123368 136586 154210 273172 308420 341465 478051 546344 616840 682930 956102 1365860 1912204 2390255 2731720 3824408 4780510 9561020 19122040