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21145488 = 24371347103
BaseRepresentation
bin101000010101…
…0011110010000
31110210022011020
41100222132100
520403123423
62033115440
7344506440
oct120523620
943708136
1021145488
1110a32a11
1270b8b80
1344c4930
142b46120
151cca4e3
hex142a790

21145488 has 160 divisors (see below), whose sum is σ = 69328896. Its totient is φ = 5405184.

The previous prime is 21145483. The next prime is 21145489. The reversal of 21145488 is 88454112.

It is not an unprimeable number, because it can be changed into a prime (21145483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205245 + ... + 205347.

Almost surely, 221145488 is an apocalyptic number.

21145488 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 21145488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

21145488 is an abundant number, since it is smaller than the sum of its proper divisors (48183408).

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

21145488 is a wasteful number, since it uses less digits than its factorization.

21145488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 21145488 is about 4598.4223381503. The cubic root of 21145488 is about 276.5280794917.

The spelling of 21145488 in words is "twenty-one million, one hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 103 104 112 141 156 168 182 188 206 208 273 282 309 312 329 336 364 376 412 546 564 611 618 624 658 721 728 752 824 987 1092 1128 1222 1236 1316 1339 1442 1456 1648 1833 1974 2163 2184 2256 2444 2472 2632 2678 2884 3666 3948 4017 4277 4326 4368 4841 4888 4944 5264 5356 5768 7332 7896 8034 8554 8652 9373 9682 9776 10712 11536 12831 14523 14664 15792 16068 17108 17304 18746 19364 21424 25662 28119 29046 29328 32136 33887 34216 34608 37492 38728 51324 56238 58092 62933 64272 67774 68432 74984 77456 101661 102648 112476 116184 125866 135548 149968 188799 203322 205296 224952 232368 251732 271096 377598 406644 440531 449904 503464 542192 755196 813288 881062 1006928 1321593 1510392 1626576 1762124 2643186 3020784 3524248 5286372 7048496 10572744 21145488