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105142938 = 2337946237
BaseRepresentation
bin1100100010001…
…01101010011010
321022211210222220
412101011222122
5203404033223
614233324510
72414462115
oct621055232
9238753886
10105142938
115439449a
122b266736
1318a24674
14dd6d57c
15936d6e3
hex6445a9a

105142938 has 16 divisors (see below), whose sum is σ = 210845280. Its totient is φ = 34954416.

The previous prime is 105142907. The next prime is 105142957. The reversal of 105142938 is 839241501.

It is a super-2 number, since 2×1051429382 = 22110074822543688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105142899 and 105142908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20845 + ... + 25392.

It is an arithmetic number, because the mean of its divisors is an integer number (13177830).

Almost surely, 2105142938 is an apocalyptic number.

105142938 is an abundant number, since it is smaller than the sum of its proper divisors (105702342).

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

105142938 is a wasteful number, since it uses less digits than its factorization.

105142938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46621.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105142938 is about 10253.9230541291. The cubic root of 105142938 is about 471.9833764374.

The spelling of 105142938 in words is "one hundred five million, one hundred forty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 379 758 1137 2274 46237 92474 138711 277422 17523823 35047646 52571469 105142938