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2153640276 = 223259823341
BaseRepresentation
bin1000000001011101…
…1111000101010100
312120002110021001200
42000113133011110
513402312442101
6553411552500
7104240432424
oct20027370524
95502407050
102153640276
11a057458a7
125012bb730
1328424c178
14166050484
15c9110986
hex805df154

2153640276 has 18 divisors (see below), whose sum is σ = 5443924122. Its totient is φ = 717880080.

The previous prime is 2153640263. The next prime is 2153640283. The reversal of 2153640276 is 6720463512.

2153640276 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 640 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2128899600 + 24740676 = 46140^2 + 4974^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 59823341 = 2153640276 / (2 + 1 + 5 + 3 + 6 + 4 + 0 + 2 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 2153640276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29911635 + ... + 29911706.

It is an arithmetic number, because the mean of its divisors is an integer number (302440229).

Almost surely, 22153640276 is an apocalyptic number.

It is an amenable number.

2153640276 is an abundant number, since it is smaller than the sum of its proper divisors (3290283846).

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

2153640276 is a wasteful number, since it uses less digits than its factorization.

2153640276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59823351 (or 59823346 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2153640276 is about 46407.3299813726. The cubic root of 2153640276 is about 1291.3908992657.

The spelling of 2153640276 in words is "two billion, one hundred fifty-three million, six hundred forty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 59823341 119646682 179470023 239293364 358940046 538410069 717880092 1076820138 2153640276