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21473280 = 211325233
BaseRepresentation
bin101000111101…
…0100000000000
31111101221210200
41101322200000
520444121110
62044125200
7350343213
oct121724000
944357720
1021473280
1111137214
127236800
1345aabaa
142bcd77a
151d426c0
hex147a800

21473280 has 144 divisors (see below), whose sum is σ = 74741940. Its totient is φ = 5701632.

The previous prime is 21473273. The next prime is 21473293. The reversal of 21473280 is 8237412.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 1115136 = 4512^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×214732802 = 922203507916800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92044 + ... + 92276.

Almost surely, 221473280 is an apocalyptic number.

21473280 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 21473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37370970).

21473280 is an abundant number, since it is smaller than the sum of its proper divisors (53268660).

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

21473280 is a wasteful number, since it uses less digits than its factorization.

21473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21473280 is about 4633.9270602805. The cubic root of 21473280 is about 277.9496484210.

The spelling of 21473280 in words is "twenty-one million, four hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 233 240 256 288 320 360 384 466 480 512 576 640 699 720 768 932 960 1024 1152 1165 1280 1398 1440 1536 1864 1920 2048 2097 2304 2330 2560 2796 2880 3072 3495 3728 3840 4194 4608 4660 5120 5592 5760 6144 6990 7456 7680 8388 9216 9320 10240 10485 11184 11520 13980 14912 15360 16776 18432 18640 20970 22368 23040 27960 29824 30720 33552 37280 41940 44736 46080 55920 59648 67104 74560 83880 89472 92160 111840 119296 134208 149120 167760 178944 223680 238592 268416 298240 335520 357888 447360 477184 536832 596480 671040 715776 894720 1073664 1192960 1342080 1431552 1789440 2147328 2385920 2684160 3578880 4294656 5368320 7157760 10736640 21473280