Search a number
-
+
21099360 = 2535113389
BaseRepresentation
bin101000001111…
…1001101100000
31110200221212210
41100133031200
520400134420
62032122120
7344225112
oct120371540
943627783
1021099360
1110a01297
127096340
1344a9939
142b333b2
151cbb9e0
hex141f360

21099360 has 96 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 5562368.

The previous prime is 21099301. The next prime is 21099371. The reversal of 21099360 is 6399012.

21099360 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54046 + ... + 54434.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 221099360 is an apocalyptic number.

21099360 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 21099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

21099360 is an abundant number, since it is smaller than the sum of its proper divisors (46124160).

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

21099360 is a wasteful number, since it uses less digits than its factorization.

21099360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 21099360 is about 4593.4039665590. The cubic root of 21099360 is about 276.3268549429.

The spelling of 21099360 in words is "twenty-one million, ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 389 452 480 565 678 778 904 1130 1167 1356 1556 1695 1808 1945 2260 2334 2712 3112 3390 3616 3890 4520 4668 5424 5835 6224 6780 7780 9040 9336 10848 11670 12448 13560 15560 18080 18672 23340 27120 31120 37344 43957 46680 54240 62240 87914 93360 131871 175828 186720 219785 263742 351656 439570 527484 659355 703312 879140 1054968 1318710 1406624 1758280 2109936 2637420 3516560 4219872 5274840 7033120 10549680 21099360