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21234096 = 24331319199
BaseRepresentation
bin101000100000…
…0000110110000
31110221210201000
41101000012300
520413442341
62035042000
7345325662
oct121000660
943853630
1021234096
1110a93544
127140300
134526070
142b6a532
151ce68b6
hex14401b0

21234096 has 160 divisors (see below), whose sum is σ = 69440000. Its totient is φ = 6158592.

The previous prime is 21234091. The next prime is 21234097. The reversal of 21234096 is 69043212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21234091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106605 + ... + 106803.

It is an arithmetic number, because the mean of its divisors is an integer number (434000).

Almost surely, 221234096 is an apocalyptic number.

21234096 is a gapful number since it is divisible by the number (26) 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 21234096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720000).

21234096 is an abundant number, since it is smaller than the sum of its proper divisors (48205904).

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

21234096 is a wasteful number, since it uses less digits than its factorization.

21234096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21234096 is about 4608.0468747616. The cubic root of 21234096 is about 276.9137954154.

The spelling of 21234096 in words is "twenty-one million, two hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 199 208 216 228 234 247 304 312 342 351 398 432 456 468 494 513 597 624 684 702 741 796 912 936 988 1026 1194 1368 1404 1482 1592 1791 1872 1976 2052 2223 2388 2587 2736 2808 2964 3184 3582 3781 3952 4104 4446 4776 5174 5373 5616 5928 6669 7164 7562 7761 8208 8892 9552 10348 10746 11343 11856 13338 14328 15124 15522 17784 20696 21492 22686 23283 26676 28656 30248 31044 34029 35568 41392 42984 45372 46566 49153 53352 60496 62088 68058 69849 85968 90744 93132 98306 102087 106704 124176 136116 139698 147459 181488 186264 196612 204174 272232 279396 294918 372528 393224 408348 442377 544464 558792 589836 786448 816696 884754 1117584 1179672 1327131 1633392 1769508 2359344 2654262 3539016 5308524 7078032 10617048 21234096