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73820106 = 2333736947
BaseRepresentation
bin1000110011001…
…10011111001010
312010220110011000
410121212133022
5122344220411
611154115430
71554313653
oct431463712
9163813130
1073820106
1138740158
122087bb76
13123a8549
149b3852a
156732956
hex46667ca

73820106 has 32 divisors (see below), whose sum is σ = 168482880. Its totient is φ = 23941008.

The previous prime is 73820101. The next prime is 73820119. The reversal of 73820106 is 60102837.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 73820106.

It is not an unprimeable number, because it can be changed into a prime (73820101) 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, 16476 + ... + 20471.

It is an arithmetic number, because the mean of its divisors is an integer number (5265090).

Almost surely, 273820106 is an apocalyptic number.

73820106 is an abundant number, since it is smaller than the sum of its proper divisors (94662774).

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

73820106 is a wasteful number, since it uses less digits than its factorization.

73820106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36995 (or 36989 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73820106 is about 8591.8627782338. The cubic root of 73820106 is about 419.4931641310.

The spelling of 73820106 in words is "seventy-three million, eight hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 36947 73894 110841 221682 332523 665046 997569 1367039 1995138 2734078 4101117 8202234 12303351 24606702 36910053 73820106