Search a number
-
+
42342960 = 24351143373
BaseRepresentation
bin1010000110000…
…1101000110000
32221200020121210
42201201220300
541314433320
64111320120
71022623602
oct241415060
987606553
1042342960
11219a0990
1212220040
138a0710a
1458a3172
153ab60e0
hex2861a30

42342960 has 160 divisors (see below), whose sum is σ = 146919168. Its totient is φ = 9999360.

The previous prime is 42342941. The next prime is 42343009. The reversal of 42342960 is 6924324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113334 + ... + 113706.

Almost surely, 242342960 is an apocalyptic number.

42342960 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 42342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73459584).

42342960 is an abundant number, since it is smaller than the sum of its proper divisors (104576208).

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

42342960 is a wasteful number, since it uses less digits than its factorization.

42342960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 42342960 is about 6507.1468402058. The cubic root of 42342960 is about 348.5462421494.

The spelling of 42342960 in words is "forty-two million, three hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 373 430 440 473 516 528 645 660 688 746 860 880 946 1032 1119 1290 1320 1419 1492 1720 1865 1892 2064 2238 2365 2580 2640 2838 2984 3440 3730 3784 4103 4476 4730 5160 5595 5676 5968 7095 7460 7568 8206 8952 9460 10320 11190 11352 12309 14190 14920 16039 16412 17904 18920 20515 22380 22704 24618 28380 29840 32078 32824 37840 41030 44760 48117 49236 56760 61545 64156 65648 80195 82060 89520 96234 98472 113520 123090 128312 160390 164120 176429 192468 196944 240585 246180 256624 320780 328240 352858 384936 481170 492360 529287 641560 705716 769872 882145 962340 984720 1058574 1283120 1411432 1764290 1924680 2117148 2646435 2822864 3528580 3849360 4234296 5292870 7057160 8468592 10585740 14114320 21171480 42342960