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2120154040 = 2352916311213
BaseRepresentation
bin111111001011110…
…1111101110111000
312110202102222120201
41332113233232320
513320224412130
6550214131544
7103353004054
oct17627575670
95422388521
102120154040
11998854124
124b2050bb4
1327a326424
14161814c64
15c61e8bca
hex7e5efbb8

2120154040 has 64 divisors (see below), whose sum is σ = 4965559200. Its totient is φ = 813722112.

The previous prime is 2120154037. The next prime is 2120154041. The reversal of 2120154040 is 404510212.

It is a junction number, because it is equal to n+sod(n) for n = 2120153999 and 2120154017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120154041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183474 + ... + 194686.

Almost surely, 22120154040 is an apocalyptic number.

2120154040 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 2120154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482779600).

2120154040 is an abundant number, since it is smaller than the sum of its proper divisors (2845405160).

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

2120154040 is a wasteful number, since it uses less digits than its factorization.

2120154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2120154040 is about 46045.1304700074. The cubic root of 2120154040 is about 1284.6627708993.

Adding to 2120154040 its reverse (404510212), we get a palindrome (2524664252).

The spelling of 2120154040 in words is "two billion, one hundred twenty million, one hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 163 232 290 326 580 652 815 1160 1304 1630 3260 4727 6520 9454 11213 18908 22426 23635 37816 44852 47270 56065 89704 94540 112130 189080 224260 325177 448520 650354 1300708 1625885 1827719 2601416 3251770 3655438 6503540 7310876 9138595 13007080 14621752 18277190 36554380 53003851 73108760 106007702 212015404 265019255 424030808 530038510 1060077020 2120154040