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80105436 = 22379157
BaseRepresentation
bin1001100011001…
…00111111011100
312120201210000000
410301210333130
5131001333221
611540534300
71661612355
oct461447734
9176653000
1080105436
1141243444
12229b1390
1313799388
14a8d2d2c
157074e26
hex4c64fdc

80105436 has 48 divisors (see below), whose sum is σ = 210267680. Its totient is φ = 26698896.

The previous prime is 80105393. The next prime is 80105449. The reversal of 80105436 is 63450108.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4170 + ... + 13326.

Almost surely, 280105436 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 80105436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105133840).

80105436 is an abundant number, since it is smaller than the sum of its proper divisors (130162244).

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

80105436 is an equidigital number, since it uses as much as digits as its factorization.

80105436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 80105436 is about 8950.1640208434. The cubic root of 80105436 is about 431.0761507197.

The spelling of 80105436 in words is "eighty million, one hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 9157 18314 27471 36628 54942 82413 109884 164826 247239 329652 494478 741717 988956 1483434 2225151 2966868 4450302 6675453 8900604 13350906 20026359 26701812 40052718 80105436