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80765440 = 29574507
BaseRepresentation
bin1001101000001…
…10001000000000
312121222022100121
410310012020000
5131133443230
612003030024
72000331520
oct464061000
9177868317
1080765440
11416542a8
122306b314
131396a902
14aa25680
15715577a
hex4d06200

80765440 has 80 divisors (see below), whose sum is σ = 221360832. Its totient is φ = 27684864.

The previous prime is 80765431. The next prime is 80765441. The reversal of 80765440 is 4456708.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 80765396 and 80765405.

It is not an unprimeable number, because it can be changed into a prime (80765441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15667 + ... + 20173.

Almost surely, 280765440 is an apocalyptic number.

80765440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110680416).

80765440 is an abundant number, since it is smaller than the sum of its proper divisors (140595392).

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

80765440 is an equidigital number, since it uses as much as digits as its factorization.

80765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 80765440 is about 8986.9594413239. The cubic root of 80765440 is about 432.2568203147.

The spelling of 80765440 in words is "eighty million, seven hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 4507 8960 9014 17920 18028 22535 31549 36056 45070 63098 72112 90140 126196 144224 157745 180280 252392 288448 315490 360560 504784 576896 630980 721120 1009568 1153792 1261960 1442240 2019136 2307584 2523920 2884480 4038272 5047840 5768960 8076544 10095680 11537920 16153088 20191360 40382720 80765440