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28134720 = 263259769
BaseRepresentation
bin110101101010…
…0110101000000
31221221101120200
41223110311000
524200302340
62443005200
7461066265
oct153246500
957841520
1028134720
1114977039
129509800
135aa0c83
143a4526c
15270b330
hex1ad4d40

28134720 has 84 divisors (see below), whose sum is σ = 96781620. Its totient is φ = 7501824.

The previous prime is 28134719. The next prime is 28134721. The reversal of 28134720 is 2743182.

It is an interprime number because it is at equal distance from previous prime (28134719) and next prime (28134721).

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 18249984 = 3144^2 + 4272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28134721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005 + ... + 7764.

Almost surely, 228134720 is an apocalyptic number.

28134720 is a gapful number since it is divisible by the number (20) 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 28134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48390810).

28134720 is an abundant number, since it is smaller than the sum of its proper divisors (68646900).

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

28134720 is a wasteful number, since it uses less digits than its factorization.

28134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9779 counting only the distinct ones).

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

The square root of 28134720 is about 5304.2171901233. The cubic root of 28134720 is about 304.1451292271.

The spelling of 28134720 in words is "twenty-eight million, one hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 9769 19538 29307 39076 48845 58614 78152 87921 97690 117228 146535 156304 175842 195380 234456 293070 312608 351684 390760 439605 468912 586140 625216 703368 781520 879210 937824 1172280 1406736 1563040 1758420 1875648 2344560 2813472 3126080 3516840 4689120 5626944 7033680 9378240 14067360 28134720