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1014142320 = 2432511031277
BaseRepresentation
bin111100011100101…
…001010101110000
32121200021202201200
4330130221111300
54034110023240
6244344331200
734063032102
oct7434512560
92550252650
101014142320
11480503154
12243773b00
1313214c319
149898d572
155e076930
hex3c729570

1014142320 has 120 divisors (see below), whose sum is σ = 3411585216. Its totient is φ = 269981184.

The previous prime is 1014142307. The next prime is 1014142321. The reversal of 1014142320 is 232414101.

1014142320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014142293 and 1014142302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014142321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793522 + ... + 794798.

Almost surely, 21014142320 is an apocalyptic number.

1014142320 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 1014142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705792608).

1014142320 is an abundant number, since it is smaller than the sum of its proper divisors (2397442896).

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

1014142320 is a wasteful number, since it uses less digits than its factorization.

1014142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014142320 is about 31845.6012661090. The cubic root of 1014142320 is about 1004.6920568368.

Adding to 1014142320 its reverse (232414101), we get a palindrome (1246556421).

The spelling of 1014142320 in words is "one billion, fourteen million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1103 1277 2206 2554 3309 3831 4412 5108 5515 6385 6618 7662 8824 9927 10216 11030 11493 12770 13236 15324 16545 17648 19155 19854 20432 22060 22986 25540 26472 30648 33090 38310 39708 44120 45972 49635 51080 52944 57465 61296 66180 76620 79416 88240 91944 99270 102160 114930 132360 153240 158832 183888 198540 229860 264720 306480 397080 459720 794160 919440 1408531 2817062 4225593 5634124 7042655 8451186 11268248 12676779 14085310 16902372 21127965 22536496 25353558 28170620 33804744 42255930 50707116 56341240 63383895 67609488 84511860 101414232 112682480 126767790 169023720 202828464 253535580 338047440 507071160 1014142320