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21158160 = 2435233833
BaseRepresentation
bin101000010110…
…1100100010000
31110210221112120
41100231210100
520404030120
62033254240
7344561412
oct120554420
943727476
1021158160
1110a41491
127104380
1344ca62a
142b4a9b2
151cce140
hex142d910

21158160 has 80 divisors (see below), whose sum is σ = 68459904. Its totient is φ = 5395456.

The previous prime is 21158147. The next prime is 21158161. The reversal of 21158160 is 6185112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21158160.

It is not an unprimeable number, because it can be changed into a prime (21158161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604 + ... + 7436.

Almost surely, 221158160 is an apocalyptic number.

21158160 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 21158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34229952).

21158160 is an abundant number, since it is smaller than the sum of its proper divisors (47301744).

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

21158160 is a wasteful number, since it uses less digits than its factorization.

21158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 21158160 is about 4599.7999956520. The cubic root of 21158160 is about 276.5833074134.

The spelling of 21158160 in words is "twenty-one million, one hundred fifty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 3833 5520 7666 11499 15332 19165 22998 30664 38330 45996 57495 61328 76660 88159 91992 114990 153320 176318 183984 229980 264477 306640 352636 440795 459960 528954 705272 881590 919920 1057908 1322385 1410544 1763180 2115816 2644770 3526360 4231632 5289540 7052720 10579080 21158160