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2740106432 = 26719321911
BaseRepresentation
bin1010001101010010…
…1011010011000000
321001221222211101102
42203110223103000
521102431401212
61131521553532
7124621343330
oct24324532300
97057884342
102740106432
11118679a578
126457a58a8
133488b986b
141bdcb30c0
151108585c2
hexa352b4c0

2740106432 has 56 divisors (see below), whose sum is σ = 6541251840. Its totient is φ = 1112520960.

The previous prime is 2740106431. The next prime is 2740106459. The reversal of 2740106432 is 2346010472.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2740106395 and 2740106404.

It is not an unprimeable number, because it can be changed into a prime (2740106431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152444 + ... + 169467.

Almost surely, 22740106432 is an apocalyptic number.

It is an amenable number.

2740106432 is an abundant number, since it is smaller than the sum of its proper divisors (3801145408).

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

2740106432 is a wasteful number, since it uses less digits than its factorization.

2740106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321949 (or 321939 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2740106432 is about 52346.0259427590. The cubic root of 2740106432 is about 1399.3375151307.

The spelling of 2740106432 in words is "two billion, seven hundred forty million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 321911 643822 1287644 2253377 2575288 4506754 5150576 6116309 9013508 10301152 12232618 18027016 20602304 24465236 36054032 42814163 48930472 72108064 85628326 97860944 144216128 171256652 195721888 342513304 391443776 685026608 1370053216 2740106432