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42302040 = 23351173439
BaseRepresentation
bin1010000101011…
…1101001011000
32221121011111020
42201113221120
541312131130
64110402440
71022363364
oct241275130
987534436
1042302040
1121973170
1212200420
1389c15c1
1458922a4
153aa8e10
hex2857a58

42302040 has 128 divisors (see below), whose sum is σ = 140659200. Its totient is φ = 10091520.

The previous prime is 42301969. The next prime is 42302077. The reversal of 42302040 is 4020324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96141 + ... + 96579.

It is an arithmetic number, because the mean of its divisors is an integer number (1098900).

Almost surely, 242302040 is an apocalyptic number.

42302040 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 42302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70329600).

42302040 is an abundant number, since it is smaller than the sum of its proper divisors (98357160).

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

42302040 is a wasteful number, since it uses less digits than its factorization.

42302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42302040 is about 6504.0018450182. The cubic root of 42302040 is about 348.4339282480.

Adding to 42302040 its reverse (4020324), we get a palindrome (46322364).

The spelling of 42302040 in words is "forty-two million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 439 440 584 660 730 803 876 878 1095 1317 1320 1460 1606 1752 1756 2190 2195 2409 2634 2920 3212 3512 4015 4380 4390 4818 4829 5268 6424 6585 8030 8760 8780 9636 9658 10536 12045 13170 14487 16060 17560 19272 19316 24090 24145 26340 28974 32047 32120 38632 48180 48290 52680 57948 64094 72435 96141 96360 96580 115896 128188 144870 160235 192282 193160 256376 289740 320470 352517 384564 480705 579480 640940 705034 769128 961410 1057551 1281880 1410068 1762585 1922820 2115102 2820136 3525170 3845640 4230204 5287755 7050340 8460408 10575510 14100680 21151020 42302040