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106452940 = 225112292113
BaseRepresentation
bin1100101100001…
…01011111001100
321102022100222111
412112011133030
5204222443230
614321353404
72431556266
oct626053714
9242270874
10106452940
11550a9740
122b798864
1319092a09
14101d0b36
15952b92a
hex65857cc

106452940 has 48 divisors (see below), whose sum is σ = 245054880. Its totient is φ = 38522880.

The previous prime is 106452937. The next prime is 106452971. The reversal of 106452940 is 49254601.

It is a super-2 number, since 2×1064529402 = 22664456869287200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49324 + ... + 51436.

It is an arithmetic number, because the mean of its divisors is an integer number (5105310).

Almost surely, 2106452940 is an apocalyptic number.

106452940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106452940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122527440).

106452940 is an abundant number, since it is smaller than the sum of its proper divisors (138601940).

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

106452940 is a wasteful number, since it uses less digits than its factorization.

106452940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 106452940 is about 10317.6034038918. The cubic root of 106452940 is about 473.9354775770.

The spelling of 106452940 in words is "one hundred six million, four hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2113 2290 2519 4226 4580 5038 8452 10076 10565 12595 21130 23243 25190 42260 46486 50380 92972 116215 232430 464860 483877 967754 1935508 2419385 4838770 5322647 9677540 10645294 21290588 26613235 53226470 106452940