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21453480 = 23325232591
BaseRepresentation
bin101000111010…
…1101010101000
31111100221122100
41101311222220
520443002410
62043453400
7350231406
oct121655250
944327570
1021453480
1111123354
127227260
1345a1b89
142bc6476
151d3b8c0
hex1475aa8

21453480 has 96 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 5470080.

The previous prime is 21453469. The next prime is 21453493. The reversal of 21453480 is 8435412.

It is a super-3 number, since 3×214534803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6985 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 221453480 is an apocalyptic number.

21453480 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 21453480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

21453480 is an abundant number, since it is smaller than the sum of its proper divisors (51329880).

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

21453480 is a wasteful number, since it uses less digits than its factorization.

21453480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 21453480 is about 4631.7901506869. The cubic root of 21453480 is about 277.8641918998.

Adding to 21453480 its reverse (8435412), we get a palindrome (29888892).

It can be divided in two parts, 2145 and 3480, that added together give a square (5625 = 752).

The spelling of 21453480 in words is "twenty-one million, four hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2591 2760 4140 5182 7773 8280 10364 12955 15546 20728 23319 25910 31092 38865 46638 51820 59593 62184 77730 93276 103640 116595 119186 155460 178779 186552 233190 238372 297965 310920 357558 466380 476744 536337 595930 715116 893895 932760 1072674 1191860 1430232 1787790 2145348 2383720 2681685 3575580 4290696 5363370 7151160 10726740 21453480