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80412100 = 225237103211
BaseRepresentation
bin1001100101011…
…11110111000100
312121022100122221
410302233313010
5131041141400
611551302124
71664330416
oct462576704
9177270587
1080412100
114143288a
1222b1a944
1313875b32
14a9729b6
1570d5c1a
hex4cafdc4

80412100 has 72 divisors (see below), whose sum is σ = 181807808. Its totient is φ = 30844800.

The previous prime is 80412097. The next prime is 80412113. The reversal of 80412100 is 121408.

It is a happy number.

It is a super-2 number, since 2×804121002 = 12932211652820000, which contains 22 as substring.

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, 380995 + ... + 381205.

Almost surely, 280412100 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 80412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90903904).

80412100 is an abundant number, since it is smaller than the sum of its proper divisors (101395708).

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

80412100 is a wasteful number, since it uses less digits than its factorization.

80412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 80412100 is about 8967.2794090516. The cubic root of 80412100 is about 431.6255399931.

Adding to 80412100 its reverse (121408), we get a palindrome (80533508).

The spelling of 80412100 in words is "eighty million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 103 148 185 206 211 370 412 422 515 740 844 925 1030 1055 1850 2060 2110 2575 3700 3811 4220 5150 5275 7622 7807 10300 10550 15244 15614 19055 21100 21733 31228 38110 39035 43466 76220 78070 86932 95275 108665 156140 190550 195175 217330 381100 390350 434660 543325 780700 804121 1086650 1608242 2173300 3216484 4020605 8041210 16082420 20103025 40206050 80412100