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21140448 = 2537163193
BaseRepresentation
bin101000010100…
…1001111100000
31110210001020120
41100221033200
520402443243
62033040240
7344455650
oct120511740
943701216
1021140448
1110a2a14a
1270b6080
1344c2554
142b44360
151cc8c83
hex14293e0

21140448 has 96 divisors (see below), whose sum is σ = 64141056. Its totient is φ = 5971968.

The previous prime is 21140423. The next prime is 21140501. The reversal of 21140448 is 84404112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109440 + ... + 109632.

It is an arithmetic number, because the mean of its divisors is an integer number (668136).

Almost surely, 221140448 is an apocalyptic number.

21140448 is a gapful number since it is divisible by the number (28) 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 21140448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32070528).

21140448 is an abundant number, since it is smaller than the sum of its proper divisors (43000608).

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

21140448 is a wasteful number, since it uses less digits than its factorization.

21140448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 21140448 is about 4597.8742914525. The cubic root of 21140448 is about 276.5061077080.

The spelling of 21140448 in words is "twenty-one million, one hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 193 224 326 336 386 489 579 652 672 772 978 1141 1158 1304 1351 1544 1956 2282 2316 2608 2702 3088 3423 3912 4053 4564 4632 5216 5404 6176 6846 7824 8106 9128 9264 10808 13692 15648 16212 18256 18528 21616 27384 31459 32424 36512 43232 54768 62918 64848 94377 109536 125836 129696 188754 220213 251672 377508 440426 503344 660639 755016 880852 1006688 1321278 1510032 1761704 2642556 3020064 3523408 5285112 7046816 10570224 21140448