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106327496 = 23111923347
BaseRepresentation
bin1100101011001…
…10110111001000
321102001222220102
412111212313020
5204204434441
614314544532
72430524462
oct625466710
9242058812
10106327496
1155023470
122b738148
131904a8a2
141019b132
15950469b
hex6566dc8

106327496 has 48 divisors (see below), whose sum is σ = 229605840. Its totient is φ = 45773280.

The previous prime is 106327471. The next prime is 106327561. The reversal of 106327496 is 694723601.

It is a super-2 number, since 2×1063274962 = 22611072811260032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30095 + ... + 33441.

It is an arithmetic number, because the mean of its divisors is an integer number (4783455).

Almost surely, 2106327496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106327496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114802920).

106327496 is an abundant number, since it is smaller than the sum of its proper divisors (123278344).

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

106327496 is a wasteful number, since it uses less digits than its factorization.

106327496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 106327496 is about 10311.5224870045. The cubic root of 106327496 is about 473.7492427637.

The spelling of 106327496 in words is "one hundred six million, three hundred twenty-seven thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 361 418 722 836 1444 1672 2888 3347 3971 6694 7942 13388 15884 26776 31768 36817 63593 73634 127186 147268 254372 294536 508744 699523 1208267 1399046 2416534 2798092 4833068 5596184 9666136 13290937 26581874 53163748 106327496