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27948060 = 22325741541
BaseRepresentation
bin110101010011…
…1010000011100
31221120220112100
41222213100130
524123314220
62435005100
7456361140
oct152472034
957526470
1027948060
1114859878
129439790
135a3701a
1439d7220
1526c0d90
hex1aa741c

27948060 has 144 divisors (see below), whose sum is σ = 99433152. Its totient is φ = 6220800.

The previous prime is 27948049. The next prime is 27948073. The reversal of 27948060 is 6084972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51390 + ... + 51930.

It is an arithmetic number, because the mean of its divisors is an integer number (690508).

Almost surely, 227948060 is an apocalyptic number.

27948060 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 27948060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49716576).

27948060 is an abundant number, since it is smaller than the sum of its proper divisors (71485092).

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

27948060 is a wasteful number, since it uses less digits than its factorization.

27948060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27948060 is about 5286.5924753096. The cubic root of 27948060 is about 303.4710185499.

The spelling of 27948060 in words is "twenty-seven million, nine hundred forty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 541 574 615 630 738 820 861 1082 1148 1230 1260 1435 1476 1623 1722 1845 2164 2460 2583 2705 2870 3246 3444 3690 3787 4305 4869 5166 5410 5740 6492 7380 7574 8115 8610 9738 10332 10820 11361 12915 15148 16230 17220 18935 19476 22181 22722 24345 25830 32460 34083 37870 44362 45444 48690 51660 56805 66543 68166 75740 88724 97380 110905 113610 133086 136332 155267 170415 199629 221810 227220 266172 310534 332715 340830 399258 443620 465801 621068 665430 681660 776335 798516 931602 998145 1330860 1397403 1552670 1863204 1996290 2329005 2794806 3105340 3992580 4658010 5589612 6987015 9316020 13974030 27948060