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80193900 = 22352318623
BaseRepresentation
bin1001100011110…
…10100101101100
312120220021100110
410301322211230
5131012201100
611542500020
71662431313
oct461724554
9176807313
1080193900
11412a3956
1222a34610
13137ca717
14a91727a
157091250
hex4c7a96c

80193900 has 72 divisors (see below), whose sum is σ = 239540224. Its totient is φ = 20692800.

The previous prime is 80193887. The next prime is 80193917. The reversal of 80193900 is 939108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4989 + ... + 13611.

Almost surely, 280193900 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 80193900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119770112).

80193900 is an abundant number, since it is smaller than the sum of its proper divisors (159346324).

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

80193900 is a wasteful number, since it uses less digits than its factorization.

80193900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 80193900 is about 8955.1046895053. The cubic root of 80193900 is about 431.2347778706.

The spelling of 80193900 in words is "eighty million, one hundred ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 8623 9300 17246 25869 34492 43115 51738 86230 103476 129345 172460 215575 258690 267313 431150 517380 534626 646725 801939 862300 1069252 1293450 1336565 1603878 2586900 2673130 3207756 4009695 5346260 6682825 8019390 13365650 16038780 20048475 26731300 40096950 80193900