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1001134320 = 243519219547
BaseRepresentation
bin111011101011000…
…001100011110000
32120202210220002220
4323223001203300
54022242244240
6243201441040
733544333644
oct7353014360
92522726086
101001134320
1147412903a
1223b340180
1312c546594
1496d64c24
155cd575d0
hex3bac18f0

1001134320 has 80 divisors (see below), whose sum is σ = 3266874240. Its totient is φ = 252916992.

The previous prime is 1001134313. The next prime is 1001134391. The reversal of 1001134320 is 234311001.

1001134320 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 (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001134320.

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, 105214 + ... + 114333.

It is an arithmetic number, because the mean of its divisors is an integer number (40835928).

Almost surely, 21001134320 is an apocalyptic number.

1001134320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001134320 is an abundant number, since it is smaller than the sum of its proper divisors (2265739920).

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

1001134320 is a wasteful number, since it uses less digits than its factorization.

1001134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219582 (or 219576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1001134320 is about 31640.7066924871. The cubic root of 1001134320 is about 1000.3779637920.

Adding to 1001134320 its reverse (234311001), we get a palindrome (1235445321).

The spelling of 1001134320 in words is "one billion, one million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 219547 439094 658641 878188 1097735 1317282 1756376 2195470 2634564 3293205 3512752 4171393 4390940 5269128 6586410 8342786 8781880 10538256 12514179 13172820 16685572 17563760 20856965 25028358 26345640 33371144 41713930 50056716 52691280 62570895 66742288 83427860 100113432 125141790 166855720 200226864 250283580 333711440 500567160 1001134320