Search a number
-
+
1024431320 = 2351117913007
BaseRepresentation
bin111101000011111…
…001010011011000
32122101122111120202
4331003321103120
54044223300240
6245353041332
734246344143
oct7503712330
92571574522
101024431320
114862a0460
122470b6248
131343125a3
149a0ab05a
155ee0a315
hex3d0f94d8

1024431320 has 64 divisors (see below), whose sum is σ = 2528755200. Its totient is φ = 370410880.

The previous prime is 1024431319. The next prime is 1024431347. The reversal of 1024431320 is 231344201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1024431292 and 1024431301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72257 + ... + 85263.

It is an arithmetic number, because the mean of its divisors is an integer number (39511800).

Almost surely, 21024431320 is an apocalyptic number.

1024431320 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 1024431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264377600).

1024431320 is an abundant number, since it is smaller than the sum of its proper divisors (1504323880).

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

1024431320 is a wasteful number, since it uses less digits than its factorization.

1024431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1024431320 is about 32006.7386654748. The cubic root of 1024431320 is about 1008.0783380580.

Adding to 1024431320 its reverse (231344201), we get a palindrome (1255775521).

The spelling of 1024431320 in words is "one billion, twenty-four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 7160 7876 9845 13007 15752 19690 26014 39380 52028 65035 78760 104056 130070 143077 260140 286154 520280 572308 715385 1144616 1430770 2328253 2861540 4656506 5723080 9313012 11641265 18626024 23282530 25610783 46565060 51221566 93130120 102443132 128053915 204886264 256107830 512215660 1024431320