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42231780 = 22345131199
BaseRepresentation
bin1010000100011…
…0011111100100
32221110121010000
42201012133210
541302404110
64105101300
71021651503
oct241063744
987417100
1042231780
11219253a8
1212187830
138998626
14587483a
153a931c0
hex28467e4

42231780 has 120 divisors (see below), whose sum is σ = 134164800. Its totient is φ = 11119680.

The previous prime is 42231779. The next prime is 42231793. The reversal of 42231780 is 8713224.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 212121 + ... + 212319.

It is an arithmetic number, because the mean of its divisors is an integer number (1118040).

Almost surely, 242231780 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 42231780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67082400).

42231780 is an abundant number, since it is smaller than the sum of its proper divisors (91933020).

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

42231780 is a wasteful number, since it uses less digits than its factorization.

42231780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42231780 is about 6498.5983104051. The cubic root of 42231780 is about 348.2409152247.

The spelling of 42231780 in words is "forty-two million, two hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 199 262 270 324 393 398 405 524 540 597 655 786 796 810 995 1179 1194 1310 1572 1620 1791 1965 1990 2358 2388 2620 2985 3537 3582 3930 3980 4716 5373 5895 5970 7074 7164 7860 8955 10611 10746 11790 11940 14148 16119 17685 17910 21222 21492 23580 26069 26865 32238 35370 35820 42444 52138 53055 53730 64476 70740 78207 80595 104276 106110 107460 130345 156414 161190 212220 234621 260690 312828 322380 391035 469242 521380 703863 782070 938484 1173105 1407726 1564140 2111589 2346210 2815452 3519315 4223178 4692420 7038630 8446356 10557945 14077260 21115890 42231780