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73680772 = 22112414779
BaseRepresentation
bin1000110010001…
…00011110000100
312010122101000111
410121010132010
5122330241042
611151122404
71553163514
oct431043604
9163571014
1073680772
1138655500
1220813404
1312359cb9
149add844
156706517
hex4644784

73680772 has 72 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 31574400.

The previous prime is 73680767. The next prime is 73680773. The reversal of 73680772 is 27708637.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73680773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932629 + ... + 932707.

It is an arithmetic number, because the mean of its divisors is an integer number (2085440).

Almost surely, 273680772 is an apocalyptic number.

It is an amenable number.

73680772 is an abundant number, since it is smaller than the sum of its proper divisors (76470908).

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

73680772 is a wasteful number, since it uses less digits than its factorization.

73680772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 73680772 is about 8583.7504623562. The cubic root of 73680772 is about 419.2290695344.

The spelling of 73680772 in words is "seventy-three million, six hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 4 11 22 41 44 47 79 82 94 121 158 164 188 242 316 451 484 517 869 902 1034 1738 1804 1927 2068 3239 3476 3713 3854 4961 5687 6478 7426 7708 9559 9922 11374 12956 14852 19118 19844 21197 22748 35629 38236 40843 42394 71258 81686 84788 142516 152233 163372 233167 304466 391919 449273 466334 608932 783838 898546 932668 1567676 1674563 1797092 3349126 6698252 18420193 36840386 73680772