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21279104 = 2771117127
BaseRepresentation
bin101000100101…
…1000110000000
31111001002102222
41101023012000
520421412404
62040030212
7345604130
oct121130600
944032388
1021279104
1111014340
127162368
1345406b2
142b7cac0
151d04dbe
hex144b180

21279104 has 128 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 7741440.

The previous prime is 21279101. The next prime is 21279131. The reversal of 21279104 is 40197212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21279101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167489 + ... + 167615.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 221279104 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 21279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960).

21279104 is an abundant number, since it is smaller than the sum of its proper divisors (35122816).

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

21279104 is a wasteful number, since it uses less digits than its factorization.

21279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 21279104 is about 4612.9279205294. The cubic root of 21279104 is about 277.1093070846.

The spelling of 21279104 in words is "twenty-one million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 127 128 136 154 176 187 224 238 254 272 308 352 374 448 476 508 544 616 704 748 889 896 952 1016 1088 1232 1309 1397 1408 1496 1778 1904 2032 2159 2176 2464 2618 2794 2992 3556 3808 4064 4318 4928 5236 5588 5984 7112 7616 8128 8636 9779 9856 10472 11176 11968 14224 15113 15232 16256 17272 19558 20944 22352 23749 23936 28448 30226 34544 39116 41888 44704 47498 56896 60452 69088 78232 83776 89408 94996 113792 120904 138176 156464 166243 167552 178816 189992 241808 276352 312928 332486 379984 483616 625856 664972 759968 967232 1251712 1329944 1519936 1934464 2659888 3039872 5319776 10639552 21279104