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106435446 = 23131678171
BaseRepresentation
bin1100101100000…
…01001101110110
321102021110222120
412112001031312
5204221413241
614321140410
72431454265
oct626011566
9242243876
10106435446
1155097587
122b78a706
1319087a70
14101c85dc
159526666
hex6581376

106435446 has 32 divisors (see below), whose sum is σ = 230646528. Its totient is φ = 32549280.

The previous prime is 106435429. The next prime is 106435471. The reversal of 106435446 is 644534601.

It is a super-2 number, since 2×1064354462 = 22657008330437832, which contains 22 as substring.

It is a congruent number.

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, 8941 + ... + 17111.

It is an arithmetic number, because the mean of its divisors is an integer number (7207704).

Almost surely, 2106435446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106435446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115323264).

106435446 is an abundant number, since it is smaller than the sum of its proper divisors (124211082).

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

106435446 is a wasteful number, since it uses less digits than its factorization.

106435446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 106435446 is about 10316.7555946625. The cubic root of 106435446 is about 473.9095146759.

The spelling of 106435446 in words is "one hundred six million, four hundred thirty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 167 334 501 1002 2171 4342 6513 8171 13026 16342 24513 49026 106223 212446 318669 637338 1364557 2729114 4093671 8187342 17739241 35478482 53217723 106435446