Search a number
-
+
19774480 = 2451123977
BaseRepresentation
bin100101101101…
…1110000010000
31101012122111011
41023123300100
520030240410
61543500304
7330036355
oct113336020
941178434
1019774480
1110186950
126757694
13413489b
1428aa62c
151b0918a
hex12dbc10

19774480 has 80 divisors (see below), whose sum is σ = 52389504. Its totient is φ = 6871040.

The previous prime is 19774471. The next prime is 19774481. The reversal of 19774480 is 8447791.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (19774481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19752 + ... + 20728.

Almost surely, 219774480 is an apocalyptic number.

19774480 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 19774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26194752).

19774480 is an abundant number, since it is smaller than the sum of its proper divisors (32615024).

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

19774480 is a wasteful number, since it uses less digits than its factorization.

19774480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 19774480 is about 4446.8505709097. The cubic root of 19774480 is about 270.4176435390.

The spelling of 19774480 in words is "nineteen million, seven hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 977 1012 1265 1840 1954 2024 2530 3908 4048 4885 5060 7816 9770 10120 10747 15632 19540 20240 21494 22471 39080 42988 44942 53735 78160 85976 89884 107470 112355 171952 179768 214940 224710 247181 359536 429880 449420 494362 859760 898840 988724 1235905 1797680 1977448 2471810 3954896 4943620 9887240 19774480