Search a number
-
+
19469940 = 22357151307
BaseRepresentation
bin100101001000…
…1011001110100
31100122011201220
41022101121310
514441014230
61533150340
7324330450
oct112213164
940564656
1019469940
11aa99066
12662b3b0
134059099
14282b660
151a98d10
hex1291674

19469940 has 96 divisors (see below), whose sum is σ = 62920704. Its totient is φ = 4406400.

The previous prime is 19469911. The next prime is 19469959. The reversal of 19469940 is 4996491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19469892 and 19469901.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63267 + ... + 63573.

It is an arithmetic number, because the mean of its divisors is an integer number (655424).

Almost surely, 219469940 is an apocalyptic number.

19469940 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 19469940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31460352).

19469940 is an abundant number, since it is smaller than the sum of its proper divisors (43450764).

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

19469940 is a wasteful number, since it uses less digits than its factorization.

19469940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 19469940 is about 4412.4754956827. The cubic root of 19469940 is about 269.0222523200.

The spelling of 19469940 in words is "nineteen million, four hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 307 420 453 604 614 755 906 921 1057 1228 1510 1535 1812 1842 2114 2149 2265 3020 3070 3171 3684 4228 4298 4530 4605 5285 6140 6342 6447 8596 9060 9210 10570 10745 12684 12894 15855 18420 21140 21490 25788 31710 32235 42980 46357 63420 64470 92714 128940 139071 185428 231785 278142 324499 463570 556284 648998 695355 927140 973497 1297996 1390710 1622495 1946994 2781420 3244990 3893988 4867485 6489980 9734970 19469940