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42270660 = 2234597269
BaseRepresentation
bin1010000100111…
…1111111000100
32221112120110000
42201033333010
541310130120
64110001300
71022203035
oct241177704
987476400
1042270660
1121951633
12121a6230
1389b0233
145884a8c
153a9e990
hex284ffc4

42270660 has 120 divisors (see below), whose sum is σ = 134469720. Its totient is φ = 11114496.

The previous prime is 42270643. The next prime is 42270673. The reversal of 42270660 is 6607224.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 42224004 = 216^2 + 6498^2 .

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 39 ways as a sum of consecutive naturals, for example, 157006 + ... + 157274.

It is an arithmetic number, because the mean of its divisors is an integer number (1120581).

Almost surely, 242270660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42270660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67234860).

42270660 is an abundant number, since it is smaller than the sum of its proper divisors (92199060).

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

42270660 is a wasteful number, since it uses less digits than its factorization.

42270660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42270660 is about 6501.5890365356. The cubic root of 42270660 is about 348.3477498873.

Adding to 42270660 its reverse (6607224), we get a palindrome (48877884).

The spelling of 42270660 in words is "forty-two million, two hundred seventy thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 269 270 291 324 388 405 485 538 540 582 807 810 873 970 1076 1164 1345 1455 1614 1620 1746 1940 2421 2619 2690 2910 3228 3492 4035 4365 4842 5238 5380 5820 7263 7857 8070 8730 9684 10476 12105 13095 14526 15714 16140 17460 21789 24210 26093 26190 29052 31428 36315 39285 43578 48420 52186 52380 72630 78279 78570 87156 104372 108945 130465 145260 156558 157140 217890 234837 260930 313116 391395 435780 469674 521860 704511 782790 939348 1174185 1409022 1565580 2113533 2348370 2818044 3522555 4227066 4696740 7045110 8454132 10567665 14090220 21135330 42270660