Search a number
-
+
126599046 = 2372676427
BaseRepresentation
bin1111000101110…
…11111110000110
322211012220020120
413202323332012
5224402132141
620321242410
73065034300
oct742737606
9284186216
10126599046
1165509812
1236493406
13202c77a2
1412b56970
15b1aac66
hex78bbf86

126599046 has 48 divisors (see below), whose sum is σ = 298979136. Its totient is φ = 35625744.

The previous prime is 126599041. The next prime is 126599047. The reversal of 126599046 is 640995621.

It is a happy number.

It is a super-2 number, since 2×1265990462 = 32054636896220232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126598989 and 126599007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126599041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16485 + ... + 22911.

It is an arithmetic number, because the mean of its divisors is an integer number (6228732).

Almost surely, 2126599046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126599046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149489568).

126599046 is an abundant number, since it is smaller than the sum of its proper divisors (172380090).

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

126599046 is a wasteful number, since it uses less digits than its factorization.

126599046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 126599046 is about 11251.6241494284. The cubic root of 126599046 is about 502.1230340276.

The spelling of 126599046 in words is "one hundred twenty-six million, five hundred ninety-nine thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1407 2814 3283 6427 6566 9849 12854 19281 19698 38562 44989 89978 134967 269934 314923 430609 629846 861218 944769 1291827 1889538 2583654 3014263 6028526 9042789 18085578 21099841 42199682 63299523 126599046