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80201412 = 22324167811
BaseRepresentation
bin1001100011111…
…00011011000100
312120220122122200
410301330123010
5131012421122
611542554500
71662462234
oct461743304
9176818580
1080201412
11412a9565
1222a38a30
1313800c75
14a919cc4
1570935ac
hex4c7c6c4

80201412 has 72 divisors (see below), whose sum is σ = 211035552. Its totient is φ = 25660800.

The previous prime is 80201399. The next prime is 80201417. The reversal of 80201412 is 21410208.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (80201417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98487 + ... + 99297.

Almost surely, 280201412 is an apocalyptic number.

80201412 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80201412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105517776).

80201412 is an abundant number, since it is smaller than the sum of its proper divisors (130834140).

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

80201412 is a wasteful number, since it uses less digits than its factorization.

80201412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80201412 is about 8955.5241052660. The cubic root of 80201412 is about 431.2482424629.

The spelling of 80201412 in words is "eighty million, two hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 67 82 123 134 164 201 246 268 369 402 492 603 738 804 811 1206 1476 1622 2412 2433 2747 3244 4866 5494 7299 8241 9732 10988 14598 16482 24723 29196 32964 33251 49446 54337 66502 98892 99753 108674 133004 163011 199506 217348 299259 326022 399012 489033 598518 652044 978066 1197036 1956132 2227817 4455634 6683451 8911268 13366902 20050353 26733804 40100706 80201412