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21282640 = 2451715649
BaseRepresentation
bin101000100101…
…1111101010000
31111001021021221
41101023331100
520422021030
62040054424
7345620341
oct121137520
944037257
1021282640
1111016a65
127164414
1345421a2
142b800c8
151d05e7a
hex144bf50

21282640 has 40 divisors (see below), whose sum is σ = 52396200. Its totient is φ = 8011776.

The previous prime is 21282629. The next prime is 21282643. The reversal of 21282640 is 4628212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 19571776 = 1308^2 + 4424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21282643) 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, 6465 + ... + 9184.

It is an arithmetic number, because the mean of its divisors is an integer number (1309905).

Almost surely, 221282640 is an apocalyptic number.

21282640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21282640 is an abundant number, since it is smaller than the sum of its proper divisors (31113560).

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

21282640 is a wasteful number, since it uses less digits than its factorization.

21282640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15679 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 21282640 is about 4613.3111752840. The cubic root of 21282640 is about 277.1246555416.

The spelling of 21282640 in words is "twenty-one million, two hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 15649 31298 62596 78245 125192 156490 250384 266033 312980 532066 625960 1064132 1251920 1330165 2128264 2660330 4256528 5320660 10641320 21282640