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942105096 = 233238933637
BaseRepresentation
bin111000001001110…
…110001000001000
32102122201220020100
4320021312020020
53412134330341
6233252325400
732226522042
oct7011661010
92378656210
10942105096
11443880559
12223613860
1312024944a
148d19aa92
1557a973b6
hex38276208

942105096 has 48 divisors (see below), whose sum is σ = 2558169900. Its totient is φ = 313218432.

The previous prime is 942105079. The next prime is 942105113. The reversal of 942105096 is 690501249.

It is an interprime number because it is at equal distance from previous prime (942105079) and next prime (942105113).

It can be written as a sum of positive squares in 2 ways, for example, as 801682596 + 140422500 = 28314^2 + 11850^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 942105096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11190 + ... + 44826.

Almost surely, 2942105096 is an apocalyptic number.

It is an amenable number.

942105096 is an abundant number, since it is smaller than the sum of its proper divisors (1616064804).

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

942105096 is a wasteful number, since it uses less digits than its factorization.

942105096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34038 (or 34031 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 942105096 is about 30693.7305650519. The cubic root of 942105096 is about 980.3168127445.

The spelling of 942105096 in words is "nine hundred forty-two million, one hundred five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 389 778 1167 1556 2334 3112 3501 4668 7002 9336 14004 28008 33637 67274 100911 134548 201822 269096 302733 403644 605466 807288 1210932 2421864 13084793 26169586 39254379 52339172 78508758 104678344 117763137 157017516 235526274 314035032 471052548 942105096