Search a number
-
+
213769500 = 22353720359
BaseRepresentation
bin11001011110111…
…01110100011100
3112220020121121220
430233131310130
5414211111000
633113453340
75204003460
oct1457356434
9486217556
10213769500
11aa73820a
125b711250
1335398839
14205684a0
1513b791a0
hexcbddd1c

213769500 has 96 divisors (see below), whose sum is σ = 711459840. Its totient is φ = 48859200.

The previous prime is 213769499. The next prime is 213769537. The reversal of 213769500 is 5967312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (7411040).

Almost surely, 2213769500 is an apocalyptic number.

213769500 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 213769500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355729920).

213769500 is an abundant number, since it is smaller than the sum of its proper divisors (497690340).

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

213769500 is a wasteful number, since it uses less digits than its factorization.

213769500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20388 (or 20376 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 213769500 is about 14620.8583879333. The cubic root of 213769500 is about 597.9275722022.

It can be divided in two parts, 21376 and 9500, that added together give a triangular number (30876 = T248).

The spelling of 213769500 in words is "two hundred thirteen million, seven hundred sixty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 20359 40718 61077 81436 101795 122154 142513 203590 244308 285026 305385 407180 427539 508975 570052 610770 712565 855078 1017950 1221540 1425130 1526925 1710156 2035900 2137695 2544875 2850260 3053850 3562825 4275390 5089750 6107700 7125650 7634625 8550780 10179500 10688475 14251300 15269250 17814125 21376950 30538500 35628250 42753900 53442375 71256500 106884750 213769500