Search a number
-
+
42187320 = 23325716741
BaseRepresentation
bin1010000011101…
…1101000111000
32221101100010100
42200323220320
541244443240
64104115400
71021405050
oct240735070
987340110
1042187320
11218a4a5a
1212165b60
138981316
145862560
153a84e30
hex283ba38

42187320 has 96 divisors (see below), whose sum is σ = 156705120. Its totient is φ = 9642240.

The previous prime is 42187303. The next prime is 42187331. The reversal of 42187320 is 2378124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5851 + ... + 10890.

It is an arithmetic number, because the mean of its divisors is an integer number (1632345).

Almost surely, 242187320 is an apocalyptic number.

42187320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42187320 is an abundant number, since it is smaller than the sum of its proper divisors (114517800).

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

42187320 is a wasteful number, since it uses less digits than its factorization.

42187320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42187320 is about 6495.1766719620. The cubic root of 42187320 is about 348.1186674174.

The spelling of 42187320 in words is "forty-two million, one hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 16741 33482 50223 66964 83705 100446 117187 133928 150669 167410 200892 234374 251115 301338 334820 351561 401784 468748 502230 585935 602676 669640 703122 753345 937496 1004460 1054683 1171870 1205352 1406244 1506690 1757805 2008920 2109366 2343740 2812488 3013380 3515610 4218732 4687480 5273415 6026760 7031220 8437464 10546830 14062440 21093660 42187320