Search a number
-
+
21153000 = 2335311641
BaseRepresentation
bin101000010110…
…0010011101000
31110210200110110
41100230103220
520403344000
62033214320
7344540361
oct120542350
943720413
1021153000
1110a38620
1271013a0
1344c818b
142b48b68
151ccc850
hex142c4e8

21153000 has 128 divisors (see below), whose sum is σ = 72109440. Its totient is φ = 5120000.

The previous prime is 21152983. The next prime is 21153017. The reversal of 21153000 is 35112.

It is an interprime number because it is at equal distance from previous prime (21152983) and next prime (21153017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32680 + ... + 33320.

It is an arithmetic number, because the mean of its divisors is an integer number (563355).

Almost surely, 221153000 is an apocalyptic number.

21153000 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 21153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36054720).

21153000 is an abundant number, since it is smaller than the sum of its proper divisors (50956440).

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

21153000 is a wasteful number, since it uses less digits than its factorization.

21153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 21153000 is about 4599.2390674980. The cubic root of 21153000 is about 276.5608214332.

Adding to 21153000 its reverse (35112), we get a palindrome (21188112).

It can be divided in two parts, 2115 and 3000, that added together give a palindrome (5115).

The spelling of 21153000 in words is "twenty-one million, one hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 641 660 750 825 1000 1100 1282 1320 1375 1500 1650 1923 2200 2564 2750 3000 3205 3300 3846 4125 5128 5500 6410 6600 7051 7692 8250 9615 11000 12820 14102 15384 16025 16500 19230 21153 25640 28204 32050 33000 35255 38460 42306 48075 56408 64100 70510 76920 80125 84612 96150 105765 128200 141020 160250 169224 176275 192300 211530 240375 282040 320500 352550 384600 423060 480750 528825 641000 705100 846120 881375 961500 1057650 1410200 1762750 1923000 2115300 2644125 3525500 4230600 5288250 7051000 10576500 21153000