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28301940 = 22335173083
BaseRepresentation
bin110101111110…
…1101001110100
31222020212222000
41223331221310
524221130230
62450335300
7462363642
oct153755164
958225860
1028301940
1114a80737
12958a530
135b2c114
143a8a192
152740b60
hex1afda74

28301940 has 96 divisors (see below), whose sum is σ = 93260160. Its totient is φ = 7100928.

The previous prime is 28301893. The next prime is 28301951. The reversal of 28301940 is 4910382.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7639 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (971460).

Almost surely, 228301940 is an apocalyptic number.

28301940 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 28301940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46630080).

28301940 is an abundant number, since it is smaller than the sum of its proper divisors (64958220).

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

28301940 is a wasteful number, since it uses less digits than its factorization.

28301940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28301940 is about 5319.9567667416. The cubic root of 28301940 is about 304.7465062052.

It can be divided in two parts, 28301 and 940, that added together give a square (29241 = 1712).

The spelling of 28301940 in words is "twenty-eight million, three hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 3083 4590 6166 9180 9249 12332 15415 18498 27747 30830 36996 46245 52411 55494 61660 83241 92490 104822 110988 138735 157233 166482 184980 209644 262055 277470 314466 332964 416205 471699 524110 554940 628932 786165 832410 943398 1048220 1415097 1572330 1664820 1886796 2358495 2830194 3144660 4716990 5660388 7075485 9433980 14150970 28301940