Search a number
-
+
28343520 = 253115
BaseRepresentation
bin110110000011…
…1110011100000
31222100000000000
41230013303200
524223443040
62451300000
7462626112
oct154076340
958300000
1028343520
1114aa99a7
1295aa600
135b4501a
143a9b3b2
15274d130
hex1b07ce0

28343520 has 144 divisors (see below), whose sum is σ = 100442160. Its totient is φ = 7558272.

The previous prime is 28343507. The next prime is 28343537. The reversal of 28343520 is 2534382.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 5668702 + ... + 5668706.

It is an arithmetic number, because the mean of its divisors is an integer number (697515).

Almost surely, 228343520 is an apocalyptic number.

28343520 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 28343520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221080).

28343520 is an abundant number, since it is smaller than the sum of its proper divisors (72098640).

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

28343520 is an frugal number, since it uses more digits than its factorization.

28343520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 28343520 is about 5323.8632589502. The cubic root of 28343520 is about 304.8956733575.

The spelling of 28343520 in words is "twenty-eight million, three hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 729 810 864 972 1080 1215 1296 1440 1458 1620 1944 2160 2187 2430 2592 2916 3240 3645 3888 4320 4374 4860 5832 6480 6561 7290 7776 8748 9720 10935 11664 12960 13122 14580 17496 19440 19683 21870 23328 26244 29160 32805 34992 38880 39366 43740 52488 58320 59049 65610 69984 78732 87480 98415 104976 116640 118098 131220 157464 174960 177147 196830 209952 236196 262440 295245 314928 349920 354294 393660 472392 524880 590490 629856 708588 787320 885735 944784 1049760 1180980 1417176 1574640 1771470 1889568 2361960 2834352 3149280 3542940 4723920 5668704 7085880 9447840 14171760 28343520