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21350520 = 2333553373
BaseRepresentation
bin101000101110…
…0100001111000
31111011201102000
41101130201320
520431204040
62041341000
7346322262
oct121344170
944151360
1021350520
1111062a64
127197760
134567059
142b9ab32
151d1b130
hex145c878

21350520 has 128 divisors (see below), whose sum is σ = 72705600. Its totient is φ = 5571072.

The previous prime is 21350501. The next prime is 21350533. The reversal of 21350520 is 2505312.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21350493 and 21350502.

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 31 ways as a sum of consecutive naturals, for example, 57054 + ... + 57426.

Almost surely, 221350520 is an apocalyptic number.

21350520 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 21350520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352800).

21350520 is an abundant number, since it is smaller than the sum of its proper divisors (51355080).

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

21350520 is a wasteful number, since it uses less digits than its factorization.

21350520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 21350520 is about 4620.6622901917. The cubic root of 21350520 is about 277.4189683055.

Adding to 21350520 its reverse (2505312), we get a palindrome (23855832).

The spelling of 21350520 in words is "twenty-one million, three hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 373 424 477 530 540 636 746 795 954 1060 1080 1119 1272 1431 1492 1590 1865 1908 2120 2238 2385 2862 2984 3180 3357 3730 3816 4476 4770 5595 5724 6360 6714 7155 7460 8952 9540 10071 11190 11448 13428 14310 14920 16785 19080 19769 20142 22380 26856 28620 33570 39538 40284 44760 50355 57240 59307 67140 79076 80568 98845 100710 118614 134280 158152 177921 197690 201420 237228 296535 355842 395380 402840 474456 533763 593070 711684 790760 889605 1067526 1186140 1423368 1779210 2135052 2372280 2668815 3558420 4270104 5337630 7116840 10675260 21350520