Search a number
-
+
80807940 = 22325716323
BaseRepresentation
bin1001101000100…
…00100000000100
312122001110122200
410310100200010
5131141323230
612003554500
72000566443
oct464204004
9178043580
1080807940
1141683224
122308ba30
1313984065
14aa36d5a
157163160
hex4d10804

80807940 has 72 divisors (see below), whose sum is σ = 248609088. Its totient is φ = 21241920.

The previous prime is 80807933. The next prime is 80807957. The reversal of 80807940 is 4970808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80807895 and 80807904.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9619 + ... + 15941.

It is an arithmetic number, because the mean of its divisors is an integer number (3452904).

Almost surely, 280807940 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 80807940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

80807940 is an abundant number, since it is smaller than the sum of its proper divisors (167801148).

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

80807940 is a wasteful number, since it uses less digits than its factorization.

80807940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80807940 is about 8989.3236675514. The cubic root of 80807940 is about 432.3326270519.

The spelling of 80807940 in words is "eighty million, eight hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6323 6390 12646 12780 18969 25292 31615 37938 56907 63230 75876 94845 113814 126460 189690 227628 284535 379380 448933 569070 897866 1138140 1346799 1795732 2244665 2693598 4040397 4489330 5387196 6733995 8080794 8978660 13467990 16161588 20201985 26935980 40403970 80807940