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126682644 = 223112432029
BaseRepresentation
bin1111000110100…
…00011000010100
322211101010220210
413203100120110
5224412321034
620323125420
73065533104
oct743203024
9284333823
10126682644
1165566600
1236513870
132032685a
1412b79204
15b1c58e9
hex78d0614

126682644 has 72 divisors (see below), whose sum is σ = 332627680. Its totient is φ = 37477440.

The previous prime is 126682639. The next prime is 126682649. The reversal of 126682644 is 446286621.

It is an interprime number because it is at equal distance from previous prime (126682639) and next prime (126682649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126682649) 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 23 ways as a sum of consecutive naturals, for example, 61422 + ... + 63450.

Almost surely, 2126682644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126682644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166313840).

126682644 is an abundant number, since it is smaller than the sum of its proper divisors (205945036).

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

126682644 is a wasteful number, since it uses less digits than its factorization.

126682644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2088 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 126682644 is about 11255.3384667010. The cubic root of 126682644 is about 502.2335331363.

The spelling of 126682644 in words is "one hundred twenty-six million, six hundred eighty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 242 258 363 473 484 516 726 946 1419 1452 1892 2029 2838 4058 5203 5676 6087 8116 10406 12174 15609 20812 22319 24348 31218 44638 62436 66957 87247 89276 133914 174494 245509 261741 267828 348988 491018 523482 736527 959717 982036 1046964 1473054 1919434 2879151 2946108 3838868 5758302 10556887 11516604 21113774 31670661 42227548 63341322 126682644