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106413360 = 2435443389
BaseRepresentation
bin1100101011110…
…11110100110000
321102020100200120
412111323310300
5204220211420
614320450240
72431333014
oct625736460
9242210616
10106413360
1155081a29
122b779980
131907a9b1
14101c0544
15951ed40
hex657bd30

106413360 has 40 divisors (see below), whose sum is σ = 329882160. Its totient is φ = 28376832.

The previous prime is 106413301. The next prime is 106413397. The reversal of 106413360 is 63314601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1064133602 = 22647606372979200, 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 106413360.

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, 221455 + ... + 221934.

It is an arithmetic number, because the mean of its divisors is an integer number (8247054).

Almost surely, 2106413360 is an apocalyptic number.

106413360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106413360 is an abundant number, since it is smaller than the sum of its proper divisors (223468800).

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

106413360 is a wasteful number, since it uses less digits than its factorization.

106413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443405 (or 443399 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106413360 is about 10315.6851444778. The cubic root of 106413360 is about 473.8767327097.

Adding to 106413360 its reverse (63314601), we get a palindrome (169727961).

The spelling of 106413360 in words is "one hundred six million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443389 886778 1330167 1773556 2216945 2660334 3547112 4433890 5320668 6650835 7094224 8867780 10641336 13301670 17735560 21282672 26603340 35471120 53206680 106413360