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21161088 = 273413157
BaseRepresentation
bin101000010111…
…0010010000000
31110211002120000
41100232102000
520404123323
62033320000
7344603064
oct120562200
943732500
1021161088
1110a43703
127106000
1344cba70
142b4baa4
151ccee43
hex142e480

21161088 has 160 divisors (see below), whose sum is σ = 68251260. Its totient is φ = 6469632.

The previous prime is 21161059. The next prime is 21161089. The reversal of 21161088 is 88016112.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 1871424 = 4392^2 + 1368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21161089) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134706 + ... + 134862.

Almost surely, 221161088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34125630).

21161088 is an abundant number, since it is smaller than the sum of its proper divisors (47090172).

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

21161088 is a wasteful number, since it uses less digits than its factorization.

21161088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 21161088 is about 4600.1182593494. The cubic root of 21161088 is about 276.5960652740.

The spelling of 21161088 in words is "twenty-one million, one hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 157 162 192 208 216 234 288 312 314 324 351 384 416 432 468 471 576 624 628 648 702 832 864 936 942 1053 1152 1248 1256 1296 1404 1413 1664 1728 1872 1884 2041 2106 2496 2512 2592 2808 2826 3456 3744 3768 4082 4212 4239 4992 5024 5184 5616 5652 6123 7488 7536 8164 8424 8478 10048 10368 11232 11304 12246 12717 14976 15072 16328 16848 16956 18369 20096 22464 22608 24492 25434 30144 32656 33696 33912 36738 44928 45216 48984 50868 55107 60288 65312 67392 67824 73476 90432 97968 101736 110214 130624 134784 135648 146952 165321 180864 195936 203472 220428 261248 271296 293904 330642 391872 406944 440856 542592 587808 661284 783744 813888 881712 1175616 1322568 1627776 1763424 2351232 2645136 3526848 5290272 7053696 10580544 21161088