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106402446 = 2327183257
BaseRepresentation
bin1100101011110…
…01001010001110
321102012210201100
412111321022032
5204214334241
614320323530
72431256133
oct625711216
9242183640
10106402446
1155074807
122b7735a6
1319075a37
14101ba58a
15951b9b6
hex657928e

106402446 has 24 divisors (see below), whose sum is σ = 233788464. Its totient is φ = 34967520.

The previous prime is 106402441. The next prime is 106402453. The reversal of 106402446 is 644204601.

106402446 is a `hidden beast` number, since 10 + 640 + 2 + 4 + 4 + 6 = 666.

It is a super-2 number, since 2×1064024462 = 22642961029565832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106402441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40351 + ... + 42906.

It is an arithmetic number, because the mean of its divisors is an integer number (9741186).

Almost surely, 2106402446 is an apocalyptic number.

106402446 is an abundant number, since it is smaller than the sum of its proper divisors (127386018).

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

106402446 is a wasteful number, since it uses less digits than its factorization.

106402446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83336 (or 83333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106402446 is about 10315.1561306652. The cubic root of 106402446 is about 473.8605315250.

The spelling of 106402446 in words is "one hundred six million, four hundred two thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 83257 166514 249771 499542 749313 1498626 5911247 11822494 17733741 35467482 53201223 106402446