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80823690 = 2335467641
BaseRepresentation
bin1001101000101…
…00010110001010
312122002021021000
410310110112022
5131142324230
612004155430
72000663403
oct464242612
9178067230
1080823690
1141694042
1223098b76
131398b28c
14aa3c9aa
157167b60
hex4d1458a

80823690 has 64 divisors (see below), whose sum is σ = 216328320. Its totient is φ = 21473280.

The previous prime is 80823683. The next prime is 80823707. The reversal of 80823690 is 9632808.

It is a super-2 number, since 2×808236902 = 13064937730432200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125770 + ... + 126410.

It is an arithmetic number, because the mean of its divisors is an integer number (3380130).

Almost surely, 280823690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80823690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108164160).

80823690 is an abundant number, since it is smaller than the sum of its proper divisors (135504630).

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

80823690 is a wasteful number, since it uses less digits than its factorization.

80823690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80823690 is about 8990.1996640787. The cubic root of 80823690 is about 432.3607133865.

The spelling of 80823690 in words is "eighty million, eight hundred twenty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 467 641 934 1282 1401 1923 2335 2802 3205 3846 4203 4670 5769 6410 7005 8406 9615 11538 12609 14010 17307 19230 21015 25218 28845 34614 42030 57690 63045 86535 126090 173070 299347 598694 898041 1496735 1796082 2694123 2993470 4490205 5388246 8082369 8980410 13470615 16164738 26941230 40411845 80823690