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2051353120 = 255151197431
BaseRepresentation
bin111101001000101…
…0010101000100000
312021221222112110111
41322101102220200
513200121244440
6535315341104
7101556133225
oct17221225040
95257875414
102051353120
11962a31a63
12492bb1794
13268cb761b
1415662594c
15c01584ea
hex7a452a20

2051353120 has 96 divisors (see below), whose sum is σ = 4914556416. Its totient is φ = 809088000.

The previous prime is 2051353099. The next prime is 2051353121. The reversal of 2051353120 is 213531502.

It is a junction number, because it is equal to n+sod(n) for n = 2051353091 and 2051353100.

It is not an unprimeable number, because it can be changed into a prime (2051353121) 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, 4759305 + ... + 4759735.

It is an arithmetic number, because the mean of its divisors is an integer number (51193296).

Almost surely, 22051353120 is an apocalyptic number.

2051353120 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 2051353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457278208).

2051353120 is an abundant number, since it is smaller than the sum of its proper divisors (2863203296).

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

2051353120 is a wasteful number, since it uses less digits than its factorization.

2051353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2051353120 is about 45291.8659363908. The cubic root of 2051353120 is about 1270.6135295874.

Adding to 2051353120 its reverse (213531502), we get a palindrome (2264884622).

The spelling of 2051353120 in words is "two billion, fifty-one million, three hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 197 302 394 431 604 755 788 862 985 1208 1510 1576 1724 1970 2155 2416 3020 3152 3448 3940 4310 4832 6040 6304 6896 7880 8620 12080 13792 15760 17240 24160 29747 31520 34480 59494 65081 68960 84907 118988 130162 148735 169814 237976 260324 297470 325405 339628 424535 475952 520648 594940 650810 679256 849070 951904 1041296 1189880 1301620 1358512 1698140 2082592 2379760 2603240 2717024 3396280 4759520 5206480 6792560 10412960 12820957 13585120 25641914 51283828 64104785 102567656 128209570 205135312 256419140 410270624 512838280 1025676560 2051353120