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106982420 = 2255349121
BaseRepresentation
bin1100110000001…
…10110000010100
321110022021021212
412120012300110
5204341414140
614341000552
72436223046
oct630066024
9243267255
10106982420
1155430526
122b9b3158
1319219a0c
14102cba96
1595d3765
hex6606c14

106982420 has 12 divisors (see below), whose sum is σ = 224663124. Its totient is φ = 42792960.

The previous prime is 106982417. The next prime is 106982423. The reversal of 106982420 is 24289601.

It is an interprime number because it is at equal distance from previous prime (106982417) and next prime (106982423).

It can be written as a sum of positive squares in 2 ways, for example, as 12931216 + 94051204 = 3596^2 + 9698^2 .

It is a super-2 number, since 2×1069824202 = 22890476378112800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106982423) 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, 2674541 + ... + 2674580.

It is an arithmetic number, because the mean of its divisors is an integer number (18721927).

Almost surely, 2106982420 is an apocalyptic number.

106982420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106982420 is an abundant number, since it is smaller than the sum of its proper divisors (117680704).

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

106982420 is a wasteful number, since it uses less digits than its factorization.

106982420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349130 (or 5349128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106982420 is about 10343.2306365081. The cubic root of 106982420 is about 474.7199383235.

The spelling of 106982420 in words is "one hundred six million, nine hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5349121 10698242 21396484 26745605 53491210 106982420