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2030043440 = 2451710114779
BaseRepresentation
bin111100100000000…
…0000000100110000
312020110212220002002
41321000000010300
513124142342230
6533234513132
7101210040665
oct17100000460
95213786062
102030043440
119519a7757
12487a357a8
13264766049
14153879a6c
15bd349545
hex79000130

2030043440 has 80 divisors (see below), whose sum is σ = 5047310880. Its totient is φ = 756633600.

The previous prime is 2030043439. The next prime is 2030043469. The reversal of 2030043440 is 443400302.

It is a happy number.

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 (20).

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, 129971 + ... + 144749.

It is an arithmetic number, because the mean of its divisors is an integer number (63091386).

Almost surely, 22030043440 is an apocalyptic number.

2030043440 is a gapful number since it is divisible by the number (20) 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 2030043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523655440).

2030043440 is an abundant number, since it is smaller than the sum of its proper divisors (3017267440).

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

2030043440 is a wasteful number, since it uses less digits than its factorization.

2030043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14910 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2030043440 is about 45056.0033735794. The cubic root of 2030043440 is about 1266.1984486763.

Adding to 2030043440 its reverse (443400302), we get a palindrome (2473443742).

The spelling of 2030043440 in words is "two billion, thirty million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1360 1616 1717 2020 3434 4040 6868 8080 8585 13736 14779 17170 27472 29558 34340 59116 68680 73895 118232 137360 147790 236464 251243 295580 502486 591160 1004972 1182320 1256215 1492679 2009944 2512430 2985358 4019888 5024860 5970716 7463395 10049720 11941432 14926790 20099440 23882864 25375543 29853580 50751086 59707160 101502172 119414320 126877715 203004344 253755430 406008688 507510860 1015021720 2030043440