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21164490 = 2345172953
BaseRepresentation
bin101000010111…
…1000111001010
31110211021020000
41100233013022
520404230430
62033343430
7344616024
oct120570712
943737200
1021164490
1110a46216
127107b76
134500489
142b4d014
151cd0e60
hex142f1ca

21164490 has 160 divisors (see below), whose sum is σ = 63510480. Its totient is φ = 5031936.

The previous prime is 21164489. The next prime is 21164501. The reversal of 21164490 is 9446112.

21164490 is a `hidden beast` number, since 2 + 11 + 644 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14768649 + 6395841 = 3843^2 + 2529^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399304 + ... + 399356.

Almost surely, 221164490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21164490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31755240).

21164490 is an abundant number, since it is smaller than the sum of its proper divisors (42345990).

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

21164490 is a wasteful number, since it uses less digits than its factorization.

21164490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21164490 is about 4600.4880175912. The cubic root of 21164490 is about 276.6108869661.

The spelling of 21164490 in words is "twenty-one million, one hundred sixty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 53 54 58 81 85 87 90 102 106 135 145 153 159 162 170 174 255 261 265 270 290 306 318 405 435 459 477 493 510 522 530 765 783 795 810 870 901 918 954 986 1305 1377 1431 1479 1530 1537 1566 1590 1802 2295 2349 2385 2465 2610 2703 2754 2862 2958 3074 3915 4293 4437 4505 4590 4611 4698 4770 4930 5406 6885 7155 7395 7685 7830 8109 8586 8874 9010 9222 11745 13311 13515 13770 13833 14310 14790 15370 16218 21465 22185 23055 23490 24327 26129 26622 27030 27666 39933 40545 41499 42930 44370 46110 48654 52258 66555 69165 72981 78387 79866 81090 82998 121635 124497 130645 133110 138330 145962 156774 199665 207495 235161 243270 248994 261290 364905 391935 399330 414990 470322 622485 705483 729810 783870 1175805 1244970 1410966 2116449 2351610 3527415 4232898 7054830 10582245 21164490