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80546680 = 23517313821
BaseRepresentation
bin1001100110100…
…00101101111000
312121120012021101
410303100231320
5131104443210
611554221144
71665430654
oct463205570
9177505241
1080546680
1141514a05
1222b847b4
13138c2176
14a9a9a64
157110a3a
hex4cd0b78

80546680 has 64 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 29337600.

The previous prime is 80546671. The next prime is 80546689. The reversal of 80546680 is 8664508.

It is an interprime number because it is at equal distance from previous prime (80546671) and next prime (80546689).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80546689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19170 + ... + 22990.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 280546680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80546680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

80546680 is an abundant number, since it is smaller than the sum of its proper divisors (117585800).

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

80546680 is a wasteful number, since it uses less digits than its factorization.

80546680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 80546680 is about 8974.7802201502. The cubic root of 80546680 is about 431.8661994181.

The spelling of 80546680 in words is "eighty million, five hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 3821 4216 5270 7642 10540 15284 19105 21080 30568 38210 64957 76420 118451 129914 152840 236902 259828 324785 473804 519656 592255 649570 947608 1184510 1299140 2013667 2369020 2598280 4027334 4738040 8054668 10068335 16109336 20136670 40273340 80546680