Search a number
-
+
43682940 = 22325737937
BaseRepresentation
bin1010011010100…
…0110001111100
310001012022201200
42212220301330
542140323230
64200135500
71040204340
oct246506174
9101168650
1043682940
1122726704
1212767590
139085cc2
145b31620
153c7d160
hex29a8c7c

43682940 has 144 divisors (see below), whose sum is σ = 155692992. Its totient is φ = 9704448.

The previous prime is 43682929. The next prime is 43682953. The reversal of 43682940 is 4928634.

It is a happy number.

43682940 is a `hidden beast` number, since 4 + 368 + 294 + 0 = 666.

43682940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43682895 and 43682904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46152 + ... + 47088.

Almost surely, 243682940 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 43682940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77846496).

43682940 is an abundant number, since it is smaller than the sum of its proper divisors (112010052).

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

43682940 is a wasteful number, since it uses less digits than its factorization.

43682940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 43682940 is about 6609.3070741190. The cubic root of 43682940 is about 352.1848095473.

The spelling of 43682940 in words is "forty-three million, six hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 937 1036 1110 1260 1295 1332 1554 1665 1874 2220 2331 2590 2811 3108 3330 3748 3885 4662 4685 5180 5622 6559 6660 7770 8433 9324 9370 11244 11655 13118 14055 15540 16866 18740 19677 23310 26236 28110 32795 33732 34669 39354 42165 46620 56220 59031 65590 69338 78708 84330 98385 104007 118062 131180 138676 168660 173345 196770 208014 236124 242683 295155 312021 346690 393540 416028 485366 520035 590310 624042 693380 728049 970732 1040070 1180620 1213415 1248084 1456098 1560105 2080140 2184147 2426830 2912196 3120210 3640245 4368294 4853660 6240420 7280490 8736588 10920735 14560980 21841470 43682940