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21053700 = 223252149157
BaseRepresentation
bin101000001010…
…0000100000100
31110121122020200
41100110010010
520342204300
62031130500
7343645023
oct120240404
943548220
1021053700
111097aa58
127073a30
134491c15
142b208ba
151cad200
hex1414104

21053700 has 108 divisors (see below), whose sum is σ = 66857700. Its totient is φ = 5541120.

The previous prime is 21053699. The next prime is 21053707. The reversal of 21053700 is 735012.

It can be written as a sum of positive squares in 6 ways, for example, as 4260096 + 16793604 = 2064^2 + 4098^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21053707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134022 + ... + 134178.

Almost surely, 221053700 is an apocalyptic number.

21053700 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 21053700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33428850).

21053700 is an abundant number, since it is smaller than the sum of its proper divisors (45804000).

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

21053700 is a wasteful number, since it uses less digits than its factorization.

21053700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 21053700 is about 4588.4311044190. The cubic root of 21053700 is about 276.1273829136.

Adding to 21053700 its reverse (735012), we get a palindrome (21788712).

The spelling of 21053700 in words is "twenty-one million, fifty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 157 180 225 298 300 314 447 450 471 596 628 745 785 894 900 942 1341 1413 1490 1570 1788 1884 2235 2355 2682 2826 2980 3140 3725 3925 4470 4710 5364 5652 6705 7065 7450 7850 8940 9420 11175 11775 13410 14130 14900 15700 22350 23393 23550 26820 28260 33525 35325 44700 46786 47100 67050 70179 70650 93572 116965 134100 140358 141300 210537 233930 280716 350895 421074 467860 584825 701790 842148 1052685 1169650 1403580 1754475 2105370 2339300 3508950 4210740 5263425 7017900 10526850 21053700