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28306740 = 22357112557
BaseRepresentation
bin110101111111…
…0110100110100
31222021010112210
41223332310310
524221303430
62450413420
7462413640
oct153766464
958233483
1028306740
1114a84300
129591270
135b31367
143a8bc20
1527422b0
hex1afed34

28306740 has 144 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 5871360.

The previous prime is 28306723. The next prime is 28306741. The reversal of 28306740 is 4760382.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28306698 and 28306707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28306741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50542 + ... + 51098.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 228306740 is an apocalyptic number.

28306740 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 28306740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

28306740 is an abundant number, since it is smaller than the sum of its proper divisors (71436876).

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

28306740 is a wasteful number, since it uses less digits than its factorization.

28306740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 28306740 is about 5320.4078791010. The cubic root of 28306740 is about 304.7637335347.

The spelling of 28306740 in words is "twenty-eight million, three hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 557 605 660 726 770 847 924 1114 1155 1210 1452 1540 1671 1694 1815 2228 2310 2420 2541 2785 3342 3388 3630 3899 4235 4620 5082 5570 6127 6684 7260 7798 8355 8470 10164 11140 11697 12254 12705 15596 16710 16940 18381 19495 23394 24508 25410 30635 33420 36762 38990 42889 46788 50820 58485 61270 67397 73524 77980 85778 91905 116970 122540 128667 134794 171556 183810 202191 214445 233940 257334 269588 336985 367620 404382 428890 471779 514668 643335 673970 808764 857780 943558 1010955 1286670 1347940 1415337 1887116 2021910 2358895 2573340 2830674 4043820 4717790 5661348 7076685 9435580 14153370 28306740