Search a number
-
+
20497950 = 232521141101
BaseRepresentation
bin100111000110…
…0011000011110
31102120101220100
41032030120132
520221413300
62011201530
7336141534
oct116143036
942511810
1020497950
1110630460
126a462a6
134328c85
142a18154
151bed700
hex138c61e

20497950 has 144 divisors (see below), whose sum is σ = 62152272. Its totient is φ = 4800000.

The previous prime is 20497921. The next prime is 20497993. The reversal of 20497950 is 5979402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202900 + ... + 203000.

It is an arithmetic number, because the mean of its divisors is an integer number (431613).

Almost surely, 220497950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20497950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31076136).

20497950 is an abundant number, since it is smaller than the sum of its proper divisors (41654322).

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

20497950 is a wasteful number, since it uses less digits than its factorization.

20497950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20497950 is about 4527.4661787804. The cubic root of 20497950 is about 273.6760605964.

It can be divided in two parts, 2049 and 7950, that added together give a palindrome (9999).

The spelling of 20497950 in words is "twenty million, four hundred ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 41 45 50 55 66 75 82 90 99 101 110 123 150 165 198 202 205 225 246 275 303 330 369 410 450 451 495 505 550 606 615 738 825 902 909 990 1010 1025 1111 1230 1353 1515 1650 1818 1845 2050 2222 2255 2475 2525 2706 3030 3075 3333 3690 4059 4141 4510 4545 4950 5050 5555 6150 6666 6765 7575 8118 8282 9090 9225 9999 11110 11275 12423 13530 15150 16665 18450 19998 20295 20705 22550 22725 24846 27775 33330 33825 37269 40590 41410 45450 45551 49995 55550 62115 67650 74538 83325 91102 99990 101475 103525 124230 136653 166650 186345 202950 207050 227755 249975 273306 310575 372690 409959 455510 499950 621150 683265 819918 931725 1138775 1366530 1863450 2049795 2277550 3416325 4099590 6832650 10248975 20497950