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80010320 = 24513107719
BaseRepresentation
bin1001100010011…
…01110001010000
312120112221112012
410301031301100
5130440312240
611534522052
71661035145
oct461156120
9176487465
1080010320
1141188a35
1222966328
1313764cb0
14a8aa3cc
157056b65
hex4c4dc50

80010320 has 80 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 29225472.

The previous prime is 80010319. The next prime is 80010323. The reversal of 80010320 is 2301008.

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 = 80010295 and 80010304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80010323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110921 + ... + 111639.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 280010320 is an apocalyptic number.

80010320 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 80010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

80010320 is an abundant number, since it is smaller than the sum of its proper divisors (122476720).

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

80010320 is a wasteful number, since it uses less digits than its factorization.

80010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 80010320 is about 8944.8487969334. The cubic root of 80010320 is about 430.9054653481.

Adding to 80010320 its reverse (2301008), we get a palindrome (82311328).

The spelling of 80010320 in words is "eighty million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 428 520 535 719 856 1040 1070 1391 1438 1712 2140 2782 2876 3595 4280 5564 5752 6955 7190 8560 9347 11128 11504 13910 14380 18694 22256 27820 28760 37388 46735 55640 57520 74776 76933 93470 111280 149552 153866 186940 307732 373880 384665 615464 747760 769330 1000129 1230928 1538660 2000258 3077320 4000516 5000645 6154640 8001032 10001290 16002064 20002580 40005160 80010320