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2121960528 = 243271207547
BaseRepresentation
bin111111001111010…
…1000110001010000
312110212211202121200
41332132220301100
513321210214103
6550320551200
7103404236562
oct17636506120
95425752550
102121960528
11999878396
124b2782500
1327a80975c
14161b65332
15c64540a3
hex7e7a8c50

2121960528 has 60 divisors (see below), whose sum is σ = 6022212768. Its totient is φ = 697354560.

The previous prime is 2121960521. The next prime is 2121960563. The reversal of 2121960528 is 8250691212.

2121960528 is a `hidden beast` number, since 2 + 1 + 21 + 9 + 605 + 28 = 666.

2121960528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2121960492 and 2121960501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121960521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93550 + ... + 113997.

Almost surely, 22121960528 is an apocalyptic number.

It is an amenable number.

2121960528 is an abundant number, since it is smaller than the sum of its proper divisors (3900252240).

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

2121960528 is a wasteful number, since it uses less digits than its factorization.

2121960528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207632 (or 207623 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2121960528 is about 46064.7427866476. The cubic root of 2121960528 is about 1285.0275351284.

The spelling of 2121960528 in words is "two billion, one hundred twenty-one million, nine hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 207547 415094 622641 830188 1245282 1660376 1867923 2490564 3320752 3735846 4981128 7471692 9962256 14735837 14943384 29471674 29886768 44207511 58943348 88415022 117886696 132622533 176830044 235773392 265245066 353660088 530490132 707320176 1060980264 2121960528