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2026728 = 233311853
BaseRepresentation
bin111101110110011101000
310210222011000
413232303220
51004323403
6111235000
723140554
oct7566350
93728130
102026728
111164790
12818a60
1355c662
143aa864
152a07a3
hex1eece8

2026728 has 64 divisors (see below), whose sum is σ = 6148800. Its totient is φ = 613440.

The previous prime is 2026727. The next prime is 2026729. The reversal of 2026728 is 8276202.

It is an interprime number because it is at equal distance from previous prime (2026727) and next prime (2026729).

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

It is not an unprimeable number, because it can be changed into a prime (2026721) 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 15 ways as a sum of consecutive naturals, for example, 1950 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (96075).

22026728 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 2026728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074400).

2026728 is an abundant number, since it is smaller than the sum of its proper divisors (4122072).

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

2026728 is a wasteful number, since it uses less digits than its factorization.

2026728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2026728 is about 1423.6319749149. The cubic root of 2026728 is about 126.5508760243.

The spelling of 2026728 in words is "two million, twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 853 1188 1706 2376 2559 3412 5118 6824 7677 9383 10236 15354 18766 20472 23031 28149 30708 37532 46062 56298 61416 75064 84447 92124 112596 168894 184248 225192 253341 337788 506682 675576 1013364 2026728