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21464730 = 2335741277
BaseRepresentation
bin101000111100…
…0011010011010
31111101112002000
41101320122122
520443332410
62044021430
7350306250
oct121703232
944345060
1021464730
1111130851
127231876
1345a7031
142bca5d0
151d3edc0
hex147869a

21464730 has 128 divisors (see below), whose sum is σ = 67253760. Its totient is φ = 4769280.

The previous prime is 21464719. The next prime is 21464777. The reversal of 21464730 is 3746412.

21464730 is a `hidden beast` number, since 2 + 14 + 647 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21464694 and 21464703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77352 + ... + 77628.

It is an arithmetic number, because the mean of its divisors is an integer number (525420).

Almost surely, 221464730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21464730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33626880).

21464730 is an abundant number, since it is smaller than the sum of its proper divisors (45789030).

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

21464730 is a wasteful number, since it uses less digits than its factorization.

21464730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 21464730 is about 4633.0044247766. The cubic root of 21464730 is about 277.9127531885.

The spelling of 21464730 in words is "twenty-one million, four hundred sixty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 277 287 315 369 378 410 554 574 615 630 738 831 861 945 1107 1230 1385 1435 1662 1722 1845 1890 1939 2214 2493 2583 2770 2870 3690 3878 4155 4305 4986 5166 5535 5817 7479 7749 8310 8610 9695 11070 11357 11634 12465 12915 14958 15498 17451 19390 22714 24930 25830 29085 34071 34902 37395 38745 52353 56785 58170 68142 74790 77490 79499 87255 102213 104706 113570 158998 170355 174510 204426 238497 261765 306639 340710 397495 476994 511065 523530 613278 715491 794990 1022130 1192485 1430982 1533195 2146473 2384970 3066390 3577455 4292946 7154910 10732365 21464730