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42320640 = 2835103107
BaseRepresentation
bin1010000101110…
…0001100000000
32221122010000010
42201130030000
541313230030
64111024520
71022501535
oct241341400
987563003
1042320640
112198613a
121220b140
1389c9bcb
145898d8c
153aae6b0
hex285c300

42320640 has 144 divisors (see below), whose sum is σ = 137749248. Its totient is φ = 11071488.

The previous prime is 42320623. The next prime is 42320653. The reversal of 42320640 is 4602324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395467 + ... + 395573.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 242320640 is an apocalyptic number.

42320640 is a gapful number since it is divisible by the number (40) 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 42320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624).

42320640 is an abundant number, since it is smaller than the sum of its proper divisors (95428608).

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

42320640 is a wasteful number, since it uses less digits than its factorization.

42320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42320640 is about 6505.4315767672. The cubic root of 42320640 is about 348.4849889961.

Adding to 42320640 its reverse (4602324), we get a palindrome (46922964).

The spelling of 42320640 in words is "forty-two million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 107 120 128 160 192 206 214 240 256 309 320 321 384 412 428 480 515 535 618 640 642 768 824 856 960 1030 1070 1236 1280 1284 1545 1605 1648 1712 1920 2060 2140 2472 2568 3090 3210 3296 3424 3840 4120 4280 4944 5136 6180 6420 6592 6848 8240 8560 9888 10272 11021 12360 12840 13184 13696 16480 17120 19776 20544 22042 24720 25680 26368 27392 32960 33063 34240 39552 41088 44084 49440 51360 55105 65920 66126 68480 79104 82176 88168 98880 102720 110210 131840 132252 136960 165315 176336 197760 205440 220420 264504 330630 352672 395520 410880 440840 529008 661260 705344 881680 1058016 1322520 1410688 1763360 2116032 2645040 2821376 3526720 4232064 5290080 7053440 8464128 10580160 14106880 21160320 42320640