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106054752 = 2531104737
BaseRepresentation
bin1100101001001…
…00010001100000
321101120010202210
412110210101200
5204122223002
614305042120
72425310346
oct624442140
9241503683
10106054752
1154957561
122b626340
1318c836bb
1410129996
15949d96c
hex6524460

106054752 has 24 divisors (see below), whose sum is σ = 278393976. Its totient is φ = 35351552.

The previous prime is 106054693. The next prime is 106054757. The reversal of 106054752 is 257450601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1060547522 = 22495220843563008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106054757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 552273 + ... + 552464.

It is an arithmetic number, because the mean of its divisors is an integer number (11599749).

Almost surely, 2106054752 is an apocalyptic number.

106054752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106054752 is an abundant number, since it is smaller than the sum of its proper divisors (172339224).

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

106054752 is a wasteful number, since it uses less digits than its factorization.

106054752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104750 (or 1104742 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 106054752 is about 10298.2887898913. The cubic root of 106054752 is about 473.3438195565.

The spelling of 106054752 in words is "one hundred six million, fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1104737 2209474 3314211 4418948 6628422 8837896 13256844 17675792 26513688 35351584 53027376 106054752