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2960448100 = 225254412
BaseRepresentation
bin1011000001110100…
…1101101001100100
321122022121100022221
42300131031221210
522030333314400
61205432402124
7133235252011
oct26035155144
97568540287
102960448100
11128a106525
126a7546344
1338244694c
1420126c708
15124d7ec1a
hexb074da64

2960448100 has 27 divisors (see below), whose sum is σ = 6425353291. Its totient is φ = 1183961600.

The previous prime is 2960448077. The next prime is 2960448103. The reversal of 2960448100 is 18440692.

The square root of 2960448100 is 54410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26275876 + 2934172224 = 5126^2 + 54168^2 .

It is a super-2 number, since 2×29604481002 = 17528505905587220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2960448103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 541380 + ... + 546820.

Almost surely, 22960448100 is an apocalyptic number.

2960448100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2960448100 is the 54410-th square number.

It is an amenable number.

2960448100 is an abundant number, since it is smaller than the sum of its proper divisors (3464905191).

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

2960448100 is an frugal number, since it uses more digits than its factorization.

2960448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 2960448100 is about 1435.8833202321.

Adding to 2960448100 its reverse (18440692), we get a palindrome (2978888792).

The spelling of 2960448100 in words is "two billion, nine hundred sixty million, four hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5441 10882 21764 27205 54410 108820 136025 272050 544100 29604481 59208962 118417924 148022405 296044810 592089620 740112025 1480224050 2960448100