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21829704 = 23313313761
BaseRepresentation
bin101001101000…
…1100001001000
31112002001201120
41103101201020
521042022304
62055515240
7353356311
oct123214110
945061646
1021829704
111135aa86
127388b20
1346a41b0
142c83608
151db30d9
hex14d1848

21829704 has 128 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 6220800.

The previous prime is 21829699. The next prime is 21829723. The reversal of 21829704 is 40792812.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357834 + ... + 357894.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 221829704 is an apocalyptic number.

21829704 is a gapful number since it is divisible by the number (24) 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 21829704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

21829704 is an abundant number, since it is smaller than the sum of its proper divisors (41499576).

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

21829704 is a wasteful number, since it uses less digits than its factorization.

21829704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 21829704 is about 4672.2268780529. The cubic root of 21829704 is about 279.4790654260.

The spelling of 21829704 in words is "twenty-one million, eight hundred twenty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 37 39 52 61 62 74 78 93 104 111 122 124 148 156 183 186 222 244 248 296 312 366 372 403 444 481 488 732 744 793 806 888 962 1147 1209 1443 1464 1586 1612 1891 1924 2257 2294 2379 2418 2886 3172 3224 3441 3782 3848 4514 4588 4758 4836 5673 5772 6344 6771 6882 7564 9028 9176 9516 9672 11346 11544 13542 13764 14911 15128 18056 19032 22692 24583 27084 27528 29341 29822 44733 45384 49166 54168 58682 59644 69967 73749 88023 89466 98332 117364 119288 139934 147498 176046 178932 196664 209901 234728 279868 294996 352092 357864 419802 559736 589992 704184 839604 909571 1679208 1819142 2728713 3638284 5457426 7276568 10914852 21829704