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2029140480 = 2935264211
BaseRepresentation
bin111100011110010…
…0011101000000000
312020102012000110010
41320330203220000
513123424443410
6533203304520
7101166260313
oct17074435000
95212160403
102029140480
11951440304
1248767b140
1326450b053
141536c297a
15bd21bc20
hex78f23a00

2029140480 has 80 divisors (see below), whose sum is σ = 6486933024. Its totient is φ = 541102080.

The previous prime is 2029140467. The next prime is 2029140499. The reversal of 2029140480 is 840419202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20291404802 = 8234822175149260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124426 + ... + 139785.

Almost surely, 22029140480 is an apocalyptic number.

2029140480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029140480 is an abundant number, since it is smaller than the sum of its proper divisors (4457792544).

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

2029140480 is an equidigital number, since it uses as much as digits as its factorization.

2029140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264237 (or 264221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2029140480 is about 45045.9818407813. The cubic root of 2029140480 is about 1266.0106865021.

Adding to 2029140480 its reverse (840419202), we get a palindrome (2869559682).

The spelling of 2029140480 in words is "two billion, twenty-nine million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 264211 528422 792633 1056844 1321055 1585266 2113688 2642110 3170532 3963165 4227376 5284220 6341064 7926330 8454752 10568440 12682128 15852660 16909504 21136880 25364256 31705320 33819008 42273760 50728512 63410640 67638016 84547520 101457024 126821280 135276032 169095040 202914048 253642560 338190080 405828096 507285120 676380160 1014570240 2029140480