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42710100 = 223521959127
BaseRepresentation
bin1010001011101…
…1010001010100
32222100220020120
42202323101110
541413210400
64123231540
71026013146
oct242732124
988326216
1042710100
1122121804
12123785b0
138b05264
14595ac96
153b39ca0
hex28bb454

42710100 has 144 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 10523520.

The previous prime is 42710093. The next prime is 42710111. The reversal of 42710100 is 101724.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42710100.

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, 336237 + ... + 336363.

Almost surely, 242710100 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 42710100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

42710100 is an abundant number, since it is smaller than the sum of its proper divisors (90614700).

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

42710100 is a wasteful number, since it uses less digits than its factorization.

42710100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 42710100 is about 6535.2964737646. The cubic root of 42710100 is about 349.5507160321.

Adding to 42710100 its reverse (101724), we get a palindrome (42811824).

The spelling of 42710100 in words is "forty-two million, seven hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 59 60 75 76 95 100 114 118 127 150 177 190 228 236 254 285 295 300 354 380 381 475 508 570 590 635 708 762 885 950 1121 1140 1180 1270 1425 1475 1524 1770 1900 1905 2242 2413 2540 2850 2950 3175 3363 3540 3810 4425 4484 4826 5605 5700 5900 6350 6726 7239 7493 7620 8850 9525 9652 11210 12065 12700 13452 14478 14986 16815 17700 19050 22420 22479 24130 28025 28956 29972 33630 36195 37465 38100 44958 48260 56050 60325 67260 72390 74930 84075 89916 112100 112395 120650 142367 144780 149860 168150 180975 187325 224790 241300 284734 336300 361950 374650 427101 449580 561975 569468 711835 723900 749300 854202 1123950 1423670 1708404 2135505 2247900 2847340 3559175 4271010 7118350 8542020 10677525 14236700 21355050 42710100