Search a number
-
+
106454376 = 23327211219
BaseRepresentation
bin1100101100001…
…01110101101000
321102022102221200
412112011311220
5204223020001
614321404200
72431563420
oct626056550
9242272850
10106454376
11550aa826
122b799660
1319093572
14101d1480
15952c086
hex6585d68

106454376 has 48 divisors (see below), whose sum is σ = 329503200. Its totient is φ = 30415392.

The previous prime is 106454351. The next prime is 106454393. The reversal of 106454376 is 673454601.

It is a happy number.

106454376 is a `hidden beast` number, since 1 + 0 + 645 + 4 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×1064543762 = 22665068339098752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106454376.

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 11 ways as a sum of consecutive naturals, for example, 105106 + ... + 106113.

It is an arithmetic number, because the mean of its divisors is an integer number (6864650).

Almost surely, 2106454376 is an apocalyptic number.

It is an amenable number.

106454376 is an abundant number, since it is smaller than the sum of its proper divisors (223048824).

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

106454376 is a wasteful number, since it uses less digits than its factorization.

106454376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211238 (or 211231 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 106454376 is about 10317.6729934613. The cubic root of 106454376 is about 473.9376086229.

The spelling of 106454376 in words is "one hundred six million, four hundred fifty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 211219 422438 633657 844876 1267314 1478533 1689752 1900971 2534628 2957066 3801942 4435599 5069256 5914132 7603884 8871198 11828264 13306797 15207768 17742396 26613594 35484792 53227188 106454376