Search a number
-
+
20959500 = 2235389157
BaseRepresentation
bin100111111110…
…1000100001100
31110102212000210
41033331010030
520331201000
62025122420
7343103262
oct117750414
943385023
1020959500
1110916201
127029410
13445b093
142ad8432
151c90350
hex13fd10c

20959500 has 96 divisors (see below), whose sum is σ = 62112960. Its totient is φ = 5491200.

The previous prime is 20959483. The next prime is 20959511. The reversal of 20959500 is 595902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133422 + ... + 133578.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 220959500 is an apocalyptic number.

20959500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20959500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056480).

20959500 is an abundant number, since it is smaller than the sum of its proper divisors (41153460).

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

20959500 is a wasteful number, since it uses less digits than its factorization.

20959500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 20959500 is about 4578.1546500746. The cubic root of 20959500 is about 275.7149440877.

The spelling of 20959500 in words is "twenty million, nine hundred fifty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 125 150 157 178 250 267 300 314 356 375 445 471 500 534 628 750 785 890 942 1068 1335 1500 1570 1780 1884 2225 2355 2670 3140 3925 4450 4710 5340 6675 7850 8900 9420 11125 11775 13350 13973 15700 19625 22250 23550 26700 27946 33375 39250 41919 44500 47100 55892 58875 66750 69865 78500 83838 117750 133500 139730 167676 209595 235500 279460 349325 419190 698650 838380 1047975 1397300 1746625 2095950 3493250 4191900 5239875 6986500 10479750 20959500