Search a number
-
+
126836740 = 22537171401
BaseRepresentation
bin1111000111101…
…10000000000100
322211122222022001
413203312000010
5224432233430
620330315044
73100044262
oct743660004
9284588261
10126836740
1165661358
1236588a84
132037ba34
1412bb9432
15b2063ca
hex78f6004

126836740 has 24 divisors (see below), whose sum is σ = 273557592. Its totient is φ = 49363200.

The previous prime is 126836693. The next prime is 126836741. The reversal of 126836740 is 47638621.

It can be written as a sum of positive squares in 4 ways, for example, as 44970436 + 81866304 = 6706^2 + 9048^2 .

It is a super-2 number, since 2×1268367402 = 32175117227655200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 126836740.

It is not an unprimeable number, because it can be changed into a prime (126836741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84961 + ... + 86440.

It is an arithmetic number, because the mean of its divisors is an integer number (11398233).

Almost surely, 2126836740 is an apocalyptic number.

126836740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126836740 is an abundant number, since it is smaller than the sum of its proper divisors (146720852).

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

126836740 is a wasteful number, since it uses less digits than its factorization.

126836740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171447 (or 171445 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 126836740 is about 11262.1818490024. The cubic root of 126836740 is about 502.4370885655.

The spelling of 126836740 in words is "one hundred twenty-six million, eight hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 171401 342802 685604 857005 1714010 3428020 6341837 12683674 25367348 31709185 63418370 126836740