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2605142440 = 235193427819
BaseRepresentation
bin1001101101000111…
…0101000110101000
320201120000221121001
42123101311012220
520313404024230
61110301124344
7121362226315
oct23321650650
96646027531
102605142440
11111759808a
126085596b4
13326953804
141a9dbdd0c
15103a990ca
hex9b4751a8

2605142440 has 32 divisors (see below), whose sum is σ = 6170076000. Its totient is φ = 987211584.

The previous prime is 2605142431. The next prime is 2605142453. The reversal of 2605142440 is 442415062.

It is a junction number, because it is equal to n+sod(n) for n = 2605142399 and 2605142408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1713150 + ... + 1714669.

It is an arithmetic number, because the mean of its divisors is an integer number (192814875).

Almost surely, 22605142440 is an apocalyptic number.

2605142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2605142440 is an abundant number, since it is smaller than the sum of its proper divisors (3564933560).

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

2605142440 is a wasteful number, since it uses less digits than its factorization.

2605142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427849 (or 3427845 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2605142440 is about 51040.5959996550. The cubic root of 2605142440 is about 1375.9748353181.

The spelling of 2605142440 in words is "two billion, six hundred five million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 3427819 6855638 13711276 17139095 27422552 34278190 65128561 68556380 130257122 137112760 260514244 325642805 521028488 651285610 1302571220 2605142440