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2506423260 = 2235113797611
BaseRepresentation
bin1001010101100100…
…1111101111011100
320110200021111100010
42111121033233130
520113121021020
61052413203220
7116053150305
oct22531175734
96420244303
102506423260
1110768a0990
1259b490510
1330c36acb3
1419ac437ac
15ea098de0
hex9564fbdc

2506423260 has 48 divisors (see below), whose sum is σ = 7655985792. Its totient is φ = 607617600.

The previous prime is 2506423243. The next prime is 2506423261. The reversal of 2506423260 is 623246052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506423261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1898146 + ... + 1899465.

It is an arithmetic number, because the mean of its divisors is an integer number (159499704).

Almost surely, 22506423260 is an apocalyptic number.

2506423260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506423260 is an abundant number, since it is smaller than the sum of its proper divisors (5149562532).

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

2506423260 is a wasteful number, since it uses less digits than its factorization.

2506423260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797634 (or 3797632 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2506423260 is about 50064.1913946485. The cubic root of 2506423260 is about 1358.3701749033.

The spelling of 2506423260 in words is "two billion, five hundred six million, four hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3797611 7595222 11392833 15190444 18988055 22785666 37976110 41773721 45571332 56964165 75952220 83547442 113928330 125321163 167094884 208868605 227856660 250642326 417737210 501284652 626605815 835474420 1253211630 2506423260