Search a number
-
+
728707000 = 23537195479
BaseRepresentation
bin101011011011110…
…010111110111000
31212210012011002011
4223123302332320
52443022111000
6200150415304
724025623130
oct5333627670
91783164064
10728707000
1134437739a
12184061534
13b7c80998
146cacbac0
1543e932ba
hex2b6f2fb8

728707000 has 128 divisors (see below), whose sum is σ = 2051712000. Its totient is φ = 236649600.

The previous prime is 728706961. The next prime is 728707027. The reversal of 728707000 is 707827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130261 + ... + 135739.

It is an arithmetic number, because the mean of its divisors is an integer number (16029000).

Almost surely, 2728707000 is an apocalyptic number.

728707000 is a gapful number since it is divisible by the number (70) 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 728707000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025856000).

728707000 is an abundant number, since it is smaller than the sum of its proper divisors (1323005000).

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

728707000 is a wasteful number, since it uses less digits than its factorization.

728707000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 728707000 is about 26994.5735287669. The cubic root of 728707000 is about 899.8794077107.

The spelling of 728707000 in words is "seven hundred twenty-eight million, seven hundred seven thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 5479 6650 7000 9500 10958 13300 16625 19000 21916 26600 27395 33250 38353 43832 54790 66500 76706 104101 109580 133000 136975 153412 191765 208202 219160 273950 306824 383530 416404 520505 547900 684875 728707 767060 832808 958825 1041010 1095800 1369750 1457414 1534120 1917650 2082020 2602525 2739500 2914828 3643535 3835300 4164040 4794125 5205050 5479000 5829656 7287070 7670600 9588250 10410100 13012625 14574140 18217675 19176500 20820200 26025250 29148280 36435350 38353000 52050500 72870700 91088375 104101000 145741400 182176750 364353500 728707000