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126677540 = 225111733871
BaseRepresentation
bin1111000110011…
…11001000100100
322211100212220202
413203033020210
5224412140130
620323050032
73065512163
oct743171044
9284325822
10126677540
1165562790
1236510918
1320324432
1412b773da
15b1c4145
hex78cf224

126677540 has 48 divisors (see below), whose sum is σ = 307286784. Its totient is φ = 43353600.

The previous prime is 126677531. The next prime is 126677567. The reversal of 126677540 is 45776621.

It is a junction number, because it is equal to n+sod(n) for n = 126677494 and 126677503.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13196 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (6401808).

Almost surely, 2126677540 is an apocalyptic number.

126677540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126677540 is an abundant number, since it is smaller than the sum of its proper divisors (180609244).

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

126677540 is a wasteful number, since it uses less digits than its factorization.

126677540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33908 (or 33906 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 126677540 is about 11255.1117275663. Note that the first 3 decimals coincide. The cubic root of 126677540 is about 502.2267881072.

The spelling of 126677540 in words is "one hundred twenty-six million, six hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 33871 67742 135484 169355 338710 372581 575807 677420 745162 1151614 1490324 1862905 2303228 2879035 3725810 5758070 6333877 7451620 11516140 12667754 25335508 31669385 63338770 126677540