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106426056 = 233112913901
BaseRepresentation
bin1100101011111…
…10111011001000
321102021000002210
412111332323020
5204221113211
614321025120
72431415022
oct625767310
9242230083
10106426056
1155090520
122b7851a0
13190836c9
14101c5012
1595239a6
hex657eec8

106426056 has 64 divisors (see below), whose sum is σ = 300283200. Its totient is φ = 31136000.

The previous prime is 106426051. The next prime is 106426057. The reversal of 106426056 is 650624601.

It is a super-2 number, since 2×1064260562 = 22653010791430272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106426051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (4691925).

Almost surely, 2106426056 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 106426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150141600).

106426056 is an abundant number, since it is smaller than the sum of its proper divisors (193857144).

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

106426056 is a wasteful number, since it uses less digits than its factorization.

106426056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106426056 is about 10316.3004996946. The cubic root of 106426056 is about 473.8955777737.

The spelling of 106426056 in words is "one hundred six million, four hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 13901 27802 41703 55604 83406 111208 152911 166812 305822 333624 403129 458733 611644 806258 917466 1209387 1223288 1612516 1834932 2418774 3225032 3669864 4434419 4837548 8868838 9675096 13303257 17737676 26606514 35475352 53213028 106426056