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80824940 = 22574114081
BaseRepresentation
bin1001101000101…
…00101001101100
312122002022222022
410310110221230
5131142344230
612004205312
72001000140
oct464245154
9178068868
1080824940
1141694a79
1223099838
131398ba11
14aa3d220
1571681e5
hex4d14a6c

80824940 has 48 divisors (see below), whose sum is σ = 198725184. Its totient is φ = 27033600.

The previous prime is 80824927. The next prime is 80824949. The reversal of 80824940 is 4942808.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 80824940.

It is not an unprimeable number, because it can be changed into a prime (80824949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301 + ... + 12780.

It is an arithmetic number, because the mean of its divisors is an integer number (4140108).

Almost surely, 280824940 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 80824940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99362592).

80824940 is an abundant number, since it is smaller than the sum of its proper divisors (117900244).

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

80824940 is a wasteful number, since it uses less digits than its factorization.

80824940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14138 (or 14136 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 80824940 is about 8990.2691839566. The cubic root of 80824940 is about 432.3629423044.

The spelling of 80824940 in words is "eighty million, eight hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 14081 28162 56324 70405 98567 140810 197134 281620 394268 492835 577321 985670 1154642 1971340 2309284 2886605 4041247 5773210 8082494 11546420 16164988 20206235 40412470 80824940