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80813400 = 233523672
BaseRepresentation
bin1001101000100…
…01110101011000
312122001202010220
410310101311120
5131142012100
612004040040
72000621403
oct464216530
9178052126
1080813400
1141687338
1223093020
13139866a5
14aa38d3a
157164aa0
hex4d11d58

80813400 has 72 divisors (see below), whose sum is σ = 251206020. Its totient is φ = 21491520.

The previous prime is 80813387. The next prime is 80813429. The reversal of 80813400 is 431808.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220017 + ... + 220383.

Almost surely, 280813400 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 80813400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125603010).

80813400 is an abundant number, since it is smaller than the sum of its proper divisors (170392620).

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

80813400 is a wasteful number, since it uses less digits than its factorization.

80813400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80813400 is about 8989.6273560143. The cubic root of 80813400 is about 432.3423640611.

Multiplying 80813400 by its sum of digits (24), we get a square (1939521600 = 440402).

80813400 divided by its sum of digits (24) gives a square (3367225 = 18352).

The spelling of 80813400 in words is "eighty million, eight hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 367 600 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 55050 73400 110100 134689 220200 269378 404067 538756 673445 808134 1077512 1346890 1616268 2020335 2693780 3232536 3367225 4040670 5387560 6734450 8081340 10101675 13468900 16162680 20203350 26937800 40406700 80813400