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2728950 = 2352723113
BaseRepresentation
bin1010011010001111110110
312010122102020
422122033312
51144311300
6134254010
732124060
oct12321766
95118366
102728950
1115a4334
12ab7306
13747183
14510730
1538d8a0
hex29a3f6

2728950 has 96 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 591360.

The previous prime is 2728939. The next prime is 2728967. The reversal of 2728950 is 598272.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24094 + ... + 24206.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

22728950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

2728950 is an abundant number, since it is smaller than the sum of its proper divisors (5413386).

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

2728950 is a wasteful number, since it uses less digits than its factorization.

2728950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2728950 is about 1651.9533891730. The cubic root of 2728950 is about 139.7435782478.

The spelling of 2728950 in words is "two million, seven hundred twenty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 113 115 138 150 161 175 210 226 230 322 339 345 350 483 525 565 575 678 690 791 805 966 1050 1130 1150 1582 1610 1695 1725 2373 2415 2599 2825 3390 3450 3955 4025 4746 4830 5198 5650 7797 7910 8050 8475 11865 12075 12995 15594 16950 18193 19775 23730 24150 25990 36386 38985 39550 54579 59325 64975 77970 90965 109158 118650 129950 181930 194925 272895 389850 454825 545790 909650 1364475 2728950