Search a number
-
+
20764170 = 23257231433
BaseRepresentation
bin100111100110…
…1011000001010
31110001221002100
41033031120022
520303423140
62021014230
7341330640
oct117153012
943057070
1020764170
11107a2479
126b54376
1343c01bb
142a87190
151c52530
hex13cd60a

20764170 has 96 divisors (see below), whose sum is σ = 64426752. Its totient is φ = 4536576.

The previous prime is 20764153. The next prime is 20764187. The reversal of 20764170 is 7146702.

It is an interprime number because it is at equal distance from previous prime (20764153) and next prime (20764187).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13774 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (671112).

Almost surely, 220764170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20764170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32213376).

20764170 is an abundant number, since it is smaller than the sum of its proper divisors (43662582).

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

20764170 is a wasteful number, since it uses less digits than its factorization.

20764170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20764170 is about 4556.7718836913. The cubic root of 20764170 is about 274.8557700987.

The spelling of 20764170 in words is "twenty million, seven hundred sixty-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1433 1449 1610 2070 2415 2866 2898 4299 4830 7165 7245 8598 10031 12897 14330 14490 20062 21495 25794 30093 32959 42990 50155 60186 64485 65918 90279 98877 100310 128970 150465 164795 180558 197754 230713 296631 300930 329590 451395 461426 494385 593262 692139 902790 988770 1153565 1384278 1483155 2076417 2307130 2966310 3460695 4152834 6921390 10382085 20764170