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21985280 = 211519113
BaseRepresentation
bin101001111011…
…1100000000000
31112100222010122
41103313200000
521112012110
62103115412
7354605012
oct123674000
945328118
1021985280
1111456959
127442b68
134729c55
142cc41b2
151de4255
hex14f7800

21985280 has 96 divisors (see below), whose sum is σ = 56019600. Its totient is φ = 8257536.

The previous prime is 21985279. The next prime is 21985283. The reversal of 21985280 is 8258912.

It is a self number, because there is not a number n which added to its sum of digits gives 21985280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21985283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194504 + ... + 194616.

Almost surely, 221985280 is an apocalyptic number.

21985280 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 21985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

21985280 is an abundant number, since it is smaller than the sum of its proper divisors (34034320).

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

21985280 is a wasteful number, since it uses less digits than its factorization.

21985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 21985280 is about 4688.8463399860. The cubic root of 21985280 is about 280.1414251542.

The spelling of 21985280 in words is "twenty-one million, nine hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 113 128 152 160 190 226 256 304 320 380 452 512 565 608 640 760 904 1024 1130 1216 1280 1520 1808 2048 2147 2260 2432 2560 3040 3616 4294 4520 4864 5120 6080 7232 8588 9040 9728 10240 10735 12160 14464 17176 18080 19456 21470 24320 28928 34352 36160 38912 42940 48640 57856 68704 72320 85880 97280 115712 137408 144640 171760 194560 231424 274816 289280 343520 549632 578560 687040 1099264 1157120 1374080 2198528 2748160 4397056 5496320 10992640 21985280