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1040235000 = 2335479907
BaseRepresentation
bin111110000000001…
…011100111111000
32200111101102011020
4332000023213320
54112300010000
6251115502440
734530565050
oct7600134770
92614342136
101040235000
11494204a52
12250457a20
1313768698c
149c222560
15614ccba0
hex3e00b9f8

1040235000 has 160 divisors (see below), whose sum is σ = 3714311040. Its totient is φ = 237744000.

The previous prime is 1040234969. The next prime is 1040235011. The reversal of 1040235000 is 5320401.

1040235000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100047 + ... + 109953.

It is an arithmetic number, because the mean of its divisors is an integer number (23214444).

Almost surely, 21040235000 is an apocalyptic number.

1040235000 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 1040235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857155520).

1040235000 is an abundant number, since it is smaller than the sum of its proper divisors (2674076040).

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

1040235000 is an equidigital number, since it uses as much as digits as its factorization.

1040235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1040235000 is about 32252.6743077221. The cubic root of 1040235000 is about 1013.2357097589.

Adding to 1040235000 its reverse (5320401), we get a palindrome (1045555401).

The spelling of 1040235000 in words is "one billion, forty million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3500 3750 4200 4375 5000 5250 7000 7500 8750 9907 10500 13125 15000 17500 19814 21000 26250 29721 35000 39628 49535 52500 59442 69349 79256 99070 105000 118884 138698 148605 198140 208047 237768 247675 277396 297210 346745 396280 416094 495350 554792 594420 693490 743025 832188 990700 1040235 1188840 1238375 1386980 1486050 1664376 1733725 1981400 2080470 2476750 2773960 2972100 3467450 3715125 4160940 4953500 5201175 5944200 6191875 6934900 7430250 8321880 8668625 9907000 10402350 12383750 13869800 14860500 17337250 18575625 20804700 24767500 26005875 29721000 34674500 37151250 41609400 43343125 49535000 52011750 69349000 74302500 86686250 104023500 130029375 148605000 173372500 208047000 260058750 346745000 520117500 1040235000