Search a number
-
+
42320700 = 22325259797
BaseRepresentation
bin1010000101110…
…0001100111100
32221122010002100
42201130030330
541313230300
64111025100
71022501652
oct241341474
987563070
1042320700
1121986194
121220b190
1389c9c46
145898dd2
153aae700
hex285c33c

42320700 has 108 divisors (see below), whose sum is σ = 135069480. Its totient is φ = 11080320.

The previous prime is 42320699. The next prime is 42320737. The reversal of 42320700 is 702324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52702 + ... + 53498.

Almost surely, 242320700 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 42320700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534740).

42320700 is an abundant number, since it is smaller than the sum of its proper divisors (92748780).

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

42320700 is a wasteful number, since it uses less digits than its factorization.

42320700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 42320700 is about 6505.4361882967. The cubic root of 42320700 is about 348.4851536840.

The spelling of 42320700 in words is "forty-two million, three hundred twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 797 885 900 1062 1180 1475 1594 1770 2124 2391 2655 2950 3188 3540 3985 4425 4782 5310 5900 7173 7970 8850 9564 10620 11955 13275 14346 15940 17700 19925 23910 26550 28692 35865 39850 47023 47820 53100 59775 71730 79700 94046 119550 141069 143460 179325 188092 235115 239100 282138 358650 423207 470230 564276 705345 717300 846414 940460 1175575 1410690 1692828 2116035 2351150 2821380 3526725 4232070 4702300 7053450 8464140 10580175 14106900 21160350 42320700