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21740688 = 24321783107
BaseRepresentation
bin101001011101…
…1110010010000
31111220112121200
41102323302100
521031200223
62053551200
7352535634
oct122736220
944815550
1021740688
11112aa112
127345500
134672818
142c5cdc4
151d96a43
hex14bbc90

21740688 has 120 divisors (see below), whose sum is σ = 65808288. Its totient is φ = 6675456.

The previous prime is 21740687. The next prime is 21740711. The reversal of 21740688 is 88604712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21740683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203131 + ... + 203237.

Almost surely, 221740688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21740688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144).

21740688 is an abundant number, since it is smaller than the sum of its proper divisors (44067600).

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

21740688 is a wasteful number, since it uses less digits than its factorization.

21740688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 21740688 is about 4662.6910684711. The cubic root of 21740688 is about 279.0986663019.

The spelling of 21740688 in words is "twenty-one million, seven hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 107 136 144 153 166 204 214 249 272 306 321 332 408 428 498 612 642 664 747 816 856 963 996 1224 1284 1328 1411 1494 1712 1819 1926 1992 2448 2568 2822 2988 3638 3852 3984 4233 5136 5457 5644 5976 7276 7704 8466 8881 10914 11288 11952 12699 14552 15408 16371 16932 17762 21828 22576 25398 26643 29104 32742 33864 35524 43656 50796 53286 65484 67728 71048 79929 87312 101592 106572 130968 142096 150977 159858 203184 213144 261936 301954 319716 426288 452931 603908 639432 905862 1207816 1278864 1358793 1811724 2415632 2717586 3623448 5435172 7246896 10870344 21740688