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106384002 = 23193130103
BaseRepresentation
bin1100101011101…
…00101010000010
321102011212102020
412111310222002
5204213242002
614320102310
72431151304
oct625645202
9242155366
10106384002
115506196a
122b764996
131906a51a
14101b3974
1595162bc
hex6574a82

106384002 has 32 divisors (see below), whose sum is σ = 231198720. Its totient is φ = 32510160.

The previous prime is 106383961. The next prime is 106384009. The reversal of 106384002 is 200483601.

It is a happy number.

It is a super-2 number, since 2×1063840022 = 22635111763072008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106384009) 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, 11518 + ... + 18585.

It is an arithmetic number, because the mean of its divisors is an integer number (7224960).

Almost surely, 2106384002 is an apocalyptic number.

106384002 is an abundant number, since it is smaller than the sum of its proper divisors (124814718).

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

106384002 is a wasteful number, since it uses less digits than its factorization.

106384002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30158.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106384002 is about 10314.2620676421. The cubic root of 106384002 is about 473.8331499844.

The spelling of 106384002 in words is "one hundred six million, three hundred eighty-four thousand, two".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1178 1767 3534 30103 60206 90309 180618 571957 933193 1143914 1715871 1866386 2799579 3431742 5599158 17730667 35461334 53192001 106384002