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21533460 = 223513191453
BaseRepresentation
bin101001000100…
…1001100010100
31111112000100120
41102021030110
521003032320
62045311540
7351013524
oct122111424
944460316
1021533460
1111178453
1272655b0
1345cc3c0
142c07684
151d55440
hex1489314

21533460 has 96 divisors (see below), whose sum is σ = 68396160. Its totient is φ = 5018112.

The previous prime is 21533459. The next prime is 21533471. The reversal of 21533460 is 6433512.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21533460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14094 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (712460).

Almost surely, 221533460 is an apocalyptic number.

21533460 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 21533460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34198080).

21533460 is an abundant number, since it is smaller than the sum of its proper divisors (46862700).

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

21533460 is a wasteful number, since it uses less digits than its factorization.

21533460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 21533460 is about 4640.4159296339. The cubic root of 21533460 is about 278.2090624154.

Adding to 21533460 its reverse (6433512), we get a palindrome (27966972).

The spelling of 21533460 in words is "twenty-one million, five hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1453 1482 2470 2906 2964 3705 4359 4940 5812 7265 7410 8718 14530 14820 17436 18889 21795 27607 29060 37778 43590 55214 56667 75556 82821 87180 94445 110428 113334 138035 165642 188890 226668 276070 283335 331284 358891 377780 414105 552140 566670 717782 828210 1076673 1133340 1435564 1656420 1794455 2153346 3588910 4306692 5383365 7177820 10766730 21533460