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21158368 = 2571131277
BaseRepresentation
bin101000010110…
…1100111100000
31110210221211021
41100231213200
520404031433
62033255224
7344562130
oct120554740
943727737
1021158368
1110a41660
127104514
1344ca75a
142b4aac0
151cce22d
hex142d9e0

21158368 has 96 divisors (see below), whose sum is σ = 53803008. Its totient is φ = 7948800.

The previous prime is 21158329. The next prime is 21158377. The reversal of 21158368 is 86385112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76246 + ... + 76522.

It is an arithmetic number, because the mean of its divisors is an integer number (560448).

Almost surely, 221158368 is an apocalyptic number.

21158368 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 21158368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26901504).

21158368 is an abundant number, since it is smaller than the sum of its proper divisors (32644640).

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

21158368 is a wasteful number, since it uses less digits than its factorization.

21158368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 21158368 is about 4599.8226052751. The cubic root of 21158368 is about 276.5842137483.

The spelling of 21158368 in words is "twenty-one million, one hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 277 308 341 352 434 496 554 616 682 868 992 1108 1232 1364 1736 1939 2216 2387 2464 2728 3047 3472 3878 4432 4774 5456 6094 6944 7756 8587 8864 9548 10912 12188 15512 17174 19096 21329 24376 31024 34348 38192 42658 48752 60109 62048 68696 76384 85316 94457 97504 120218 137392 170632 188914 240436 274784 341264 377828 480872 661199 682528 755656 961744 1322398 1511312 1923488 2644796 3022624 5289592 10579184 21158368