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106793430 = 23521116871
BaseRepresentation
bin1100101110110…
…00100111010110
321102221200001020
412113120213112
5204314342210
614332542010
72434505052
oct627304726
9242850036
10106793430
1155311537
122b921906
13191819a3
141027cc62
159597770
hex65d89d6

106793430 has 32 divisors (see below), whose sum is σ = 257534208. Its totient is φ = 28341600.

The previous prime is 106793389. The next prime is 106793431. The reversal of 106793430 is 34397601.

It is a super-2 number, since 2×1067934302 = 22809673382329800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106793391 and 106793400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106793431) 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, 2106 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (8047944).

Almost surely, 2106793430 is an apocalyptic number.

106793430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106793430 is an abundant number, since it is smaller than the sum of its proper divisors (150740778).

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

106793430 is a wasteful number, since it uses less digits than its factorization.

106793430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106793430 is about 10334.0906711718. The cubic root of 106793430 is about 474.4402344147.

The spelling of 106793430 in words is "one hundred six million, seven hundred ninety-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 211 422 633 1055 1266 2110 3165 6330 16871 33742 50613 84355 101226 168710 253065 506130 3559781 7119562 10679343 17798905 21358686 35597810 53396715 106793430