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106166040 = 2335884717
BaseRepresentation
bin1100101001111…
…11011100011000
321101202210102120
412110333130120
5204134303130
614311301240
72426252661
oct624773430
9241683376
10106166040
1154a23132
122b67a820
1318cc2256
1410158368
1594c1910
hex653f718

106166040 has 32 divisors (see below), whose sum is σ = 318498480. Its totient is φ = 28310912.

The previous prime is 106166033. The next prime is 106166077. The reversal of 106166040 is 40661601.

It is a super-2 number, since 2×1061660402 = 22542456098563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106166040.

It is a congruent number.

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, 442239 + ... + 442478.

Almost surely, 2106166040 is an apocalyptic number.

106166040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106166040 is an abundant number, since it is smaller than the sum of its proper divisors (212332440).

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

106166040 is a wasteful number, since it uses less digits than its factorization.

106166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884731 (or 884727 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106166040 is about 10303.6906009449. The cubic root of 106166040 is about 473.5093286328.

The spelling of 106166040 in words is "one hundred six million, one hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 884717 1769434 2654151 3538868 4423585 5308302 7077736 8847170 10616604 13270755 17694340 21233208 26541510 35388680 53083020 106166040