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2053155072 = 28322711777
BaseRepresentation
bin111101001100000…
…1010100100000000
312022002101002021110
41322120022210000
513201101430242
6535422123320
7101610346563
oct17230124400
95262332243
102053155072
11963a52881
12493720540
13269498877
141569744da
15c03b239c
hex7a60a900

2053155072 has 72 divisors (see below), whose sum is σ = 5488924896. Its totient is φ = 681312256.

The previous prime is 2053155061. The next prime is 2053155077. The reversal of 2053155072 is 2705513502.

It is not an unprimeable number, because it can be changed into a prime (2053155077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168448 + ... + 180224.

It is an arithmetic number, because the mean of its divisors is an integer number (76235068).

Almost surely, 22053155072 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 2053155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744462448).

2053155072 is an abundant number, since it is smaller than the sum of its proper divisors (3435769824).

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

2053155072 is a wasteful number, since it uses less digits than its factorization.

2053155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12023 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 2053155072 is about 45311.7542366216. The cubic root of 2053155072 is about 1270.9854653094.

Adding to 2053155072 its reverse (2705513502), we get a palindrome (4758668574).

The spelling of 2053155072 in words is "two billion, fifty-three million, one hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 681 768 908 1362 1816 2724 3632 5448 7264 10896 11777 14528 21792 23554 29056 35331 43584 47108 58112 70662 87168 94216 141324 174336 188432 282648 376864 565296 753728 1130592 1507456 2261184 2673379 3014912 4522368 5346758 8020137 9044736 10693516 16040274 21387032 32080548 42774064 64161096 85548128 128322192 171096256 256644384 342192512 513288768 684385024 1026577536 2053155072