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2000120024 = 23722926067
BaseRepresentation
bin111011100110111…
…0110100011011000
312011101120121212102
41313031312203120
513044012320044
6530245302532
7100364511500
oct16715664330
95141517772
102000120024
11937019861
12479a04a48
1325b4b9b96
1414d8caa00
15ba8d824e
hex773768d8

2000120024 has 72 divisors (see below), whose sum is σ = 4518869940. Its totient is φ = 827499456.

The previous prime is 2000120011. The next prime is 2000120027. The reversal of 2000120024 is 4200210002.

It is a super-2 number, since 2×20001200242 = 8000960220811521152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000119987 and 2000120014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000120027) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 326639 + ... + 332705.

Almost surely, 22000120024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259434970).

2000120024 is an abundant number, since it is smaller than the sum of its proper divisors (2518749916).

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

2000120024 is a wasteful number, since it uses less digits than its factorization.

2000120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2000120024 is about 44722.7014389784. The cubic root of 2000120024 is about 1259.9462528514.

Adding to 2000120024 its reverse (4200210002), we get a palindrome (6200330026).

The spelling of 2000120024 in words is "two billion, one hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 841 1421 1624 1682 2842 3364 5684 5887 6067 6728 11368 11774 12134 23548 24268 41209 42469 47096 48536 82418 84938 164836 169876 175943 297283 329672 339752 351886 594566 703772 1189132 1231601 1407544 2378264 2463202 4926404 5102347 8621207 9852808 10204694 17242414 20409388 34484828 35716429 40818776 68969656 71432858 142865716 250015003 285731432 500030006 1000060012 2000120024