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21494016 = 283219491
BaseRepresentation
bin101000111111…
…1100100000000
31111110000020200
41101333210000
521000302031
62044405200
7350460525
oct121774400
944400220
1021494016
1111150855
127246800
1345b746b
142bd714c
151d488e6
hex147f900

21494016 has 108 divisors (see below), whose sum is σ = 65367120. Its totient is φ = 6773760.

The previous prime is 21494009. The next prime is 21494027. The reversal of 21494016 is 61049412.

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 11 ways as a sum of consecutive naturals, for example, 43531 + ... + 44021.

Almost surely, 221494016 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 21494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32683560).

21494016 is an abundant number, since it is smaller than the sum of its proper divisors (43873104).

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

21494016 is a wasteful number, since it uses less digits than its factorization.

21494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

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

The square root of 21494016 is about 4636.1639315279. The cubic root of 21494016 is about 278.0390884084.

The spelling of 21494016 in words is "twenty-one million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 491 576 608 684 768 912 982 1152 1216 1368 1473 1824 1964 2304 2432 2736 2946 3648 3928 4419 4864 5472 5892 7296 7856 8838 9329 10944 11784 14592 15712 17676 18658 21888 23568 27987 31424 35352 37316 43776 47136 55974 62848 70704 74632 83961 94272 111948 125696 141408 149264 167922 188544 223896 282816 298528 335844 377088 447792 565632 597056 671688 895584 1131264 1194112 1343376 1791168 2388224 2686752 3582336 5373504 7164672 10747008 21494016