Search a number
-
+
43142000 = 2453113753
BaseRepresentation
bin1010010010010…
…0101101110000
310000011211200212
42210210231300
542021021000
64140403252
71032462266
oct244445560
9100154625
1043142000
1122397250
1212546528
138c26a15
145a30436
153bc2c35
hex2924b70

43142000 has 160 divisors (see below), whose sum is σ = 119081664. Its totient is φ = 14976000.

The previous prime is 43141999. The next prime is 43142003. The reversal of 43142000 is 24134.

It is a super-2 number, since 2×431420002 = 3722464328000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43142003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813974 + ... + 814026.

Almost surely, 243142000 is an apocalyptic number.

43142000 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 43142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59540832).

43142000 is an abundant number, since it is smaller than the sum of its proper divisors (75939664).

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

43142000 is a wasteful number, since it uses less digits than its factorization.

43142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 43142000 is about 6568.2569986260. The cubic root of 43142000 is about 350.7250276748.

Adding to 43142000 its reverse (24134), we get a palindrome (43166134).

The spelling of 43142000 in words is "forty-three million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 53 55 74 80 88 100 106 110 125 148 176 185 200 212 220 250 265 275 296 370 400 407 424 440 500 530 550 583 592 740 814 848 880 925 1000 1060 1100 1166 1325 1375 1480 1628 1850 1961 2000 2035 2120 2200 2332 2650 2750 2915 2960 3256 3700 3922 4070 4240 4400 4625 4664 5300 5500 5830 6512 6625 7400 7844 8140 9250 9328 9805 10175 10600 11000 11660 13250 14575 14800 15688 16280 18500 19610 20350 21200 21571 22000 23320 26500 29150 31376 32560 37000 39220 40700 43142 46640 49025 50875 53000 58300 72875 74000 78440 81400 86284 98050 101750 106000 107855 116600 145750 156880 162800 172568 196100 203500 215710 233200 245125 291500 345136 392200 407000 431420 490250 539275 583000 784400 814000 862840 980500 1078550 1166000 1725680 1961000 2157100 2696375 3922000 4314200 5392750 8628400 10785500 21571000 43142000