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42187230 = 2385643
BaseRepresentation
bin1010000011101…
…1100111011110
32221101100000000
42200323213132
541244442410
64104115130
71021404561
oct240734736
987340000
1042187230
11218a4988
1212165aa6
138981277
1458624d8
153a84dc0
hex283b9de

42187230 has 72 divisors (see below), whose sum is σ = 114076872. Its totient is φ = 11232432.

The previous prime is 42187207. The next prime is 42187253. The reversal of 42187230 is 3278124.

42187230 is a `hidden beast` number, since 421 + 8 + 7 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (42187207) and next prime (42187253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42187194 and 42187203.

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, 65289 + ... + 65931.

It is an arithmetic number, because the mean of its divisors is an integer number (1584401).

Almost surely, 242187230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42187230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57038436).

42187230 is an abundant number, since it is smaller than the sum of its proper divisors (71889642).

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

42187230 is an frugal number, since it uses more digits than its factorization.

42187230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 653 counting only the distinct ones).

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

The square root of 42187230 is about 6495.1697437403. The cubic root of 42187230 is about 348.1184198652.

The spelling of 42187230 in words is "forty-two million, one hundred eighty-seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 643 729 810 1215 1286 1458 1929 2187 2430 3215 3645 3858 4374 5787 6430 6561 7290 9645 10935 11574 13122 17361 19290 21870 28935 32805 34722 52083 57870 65610 86805 104166 156249 173610 260415 312498 468747 520830 781245 937494 1406241 1562490 2343735 2812482 4218723 4687470 7031205 8437446 14062410 21093615 42187230