Search a number
-
+
19133940 = 2235745557
BaseRepresentation
bin100100011111…
…1010111110100
31100000002211110
41020333113310
514344241230
61522035020
7321431040
oct110772764
940002743
1019133940
11a889681
1264a8a70
133c6c177
142781020
151a2e4b0
hex123f5f4

19133940 has 48 divisors (see below), whose sum is σ = 61229952. Its totient is φ = 4373376.

The previous prime is 19133903. The next prime is 19133941. The reversal of 19133940 is 4933191.

It is a super-2 number, since 2×191339402 = 732215319847200, which contains 22 as substring.

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 = 19133898 and 19133907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19133941) 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, 22359 + ... + 23198.

It is an arithmetic number, because the mean of its divisors is an integer number (1275624).

Almost surely, 219133940 is an apocalyptic number.

19133940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19133940 is an abundant number, since it is smaller than the sum of its proper divisors (42096012).

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

19133940 is a wasteful number, since it uses less digits than its factorization.

19133940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45576 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 19133940 is about 4374.2359332802. The cubic root of 19133940 is about 267.4657247842.

The spelling of 19133940 in words is "nineteen million, one hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 45557 91114 136671 182228 227785 273342 318899 455570 546684 637798 683355 911140 956697 1275596 1366710 1594495 1913394 2733420 3188990 3826788 4783485 6377980 9566970 19133940