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80105004 = 22337215137
BaseRepresentation
bin1001100011001…
…00111000101100
312120201202102000
410301210320230
5131001330004
611540532300
71661611200
oct461447054
9176652360
1080105004
1141243091
12229b1090
1313799115
14a8d2b00
157074c39
hex4c64e2c

80105004 has 72 divisors (see below), whose sum is σ = 241602480. Its totient is φ = 22885632.

The previous prime is 80104993. The next prime is 80105029. The reversal of 80105004 is 40050108.

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

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, 2277 + ... + 12860.

It is an arithmetic number, because the mean of its divisors is an integer number (3355590).

Almost surely, 280105004 is an apocalyptic number.

80105004 is a gapful number since it is divisible by the number (84) 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 80105004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120801240).

80105004 is an abundant number, since it is smaller than the sum of its proper divisors (161497476).

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

80105004 is a wasteful number, since it uses less digits than its factorization.

80105004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15164 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 80105004 is about 8950.1398871749. The cubic root of 80105004 is about 431.0753758026.

The spelling of 80105004 in words is "eighty million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 15137 30274 45411 60548 90822 105959 136233 181644 211918 272466 317877 408699 423836 544932 635754 741713 817398 953631 1271508 1483426 1634796 1907262 2225139 2860893 2966852 3814524 4450278 5721786 6675417 8900556 11443572 13350834 20026251 26701668 40052502 80105004