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42703640 = 23571923349
BaseRepresentation
bin1010001011100…
…1101100011000
32222100120101022
42202321230120
541413004030
64123142012
71025655260
oct242715430
988316338
1042703640
1122117971
1212374908
138b02335
1459587a0
153b37de5
hex28b9b18

42703640 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 13229568.

The previous prime is 42703607. The next prime is 42703649. The reversal of 42703640 is 4630724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42703649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122186 + ... + 122534.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 242703640 is an apocalyptic number.

42703640 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 42703640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

42703640 is an abundant number, since it is smaller than the sum of its proper divisors (78256360).

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

42703640 is a wasteful number, since it uses less digits than its factorization.

42703640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 42703640 is about 6534.8022158287. The cubic root of 42703640 is about 349.5330916959.

The spelling of 42703640 in words is "forty-two million, seven hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 23 28 35 38 40 46 56 70 76 92 95 115 133 140 152 161 184 190 230 266 280 322 349 380 437 460 532 644 665 698 760 805 874 920 1064 1288 1330 1396 1610 1745 1748 2185 2443 2660 2792 3059 3220 3490 3496 4370 4886 5320 6118 6440 6631 6980 8027 8740 9772 12215 12236 13262 13960 15295 16054 17480 19544 24430 24472 26524 30590 32108 33155 40135 46417 48860 53048 56189 61180 64216 66310 80270 92834 97720 112378 122360 132620 152513 160540 185668 224756 232085 265240 280945 305026 321080 371336 449512 464170 561890 610052 762565 928340 1067591 1123780 1220104 1525130 1856680 2135182 2247560 3050260 4270364 5337955 6100520 8540728 10675910 21351820 42703640