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21354102 = 23272113171
BaseRepresentation
bin101000101110…
…1011001110110
31111011220022200
41101131121312
520431312402
62041405330
7346335600
oct121353166
944156280
1021354102
1111065720
127199846
134568883
142b9c170
151d1c21c
hex145d676

21354102 has 144 divisors (see below), whose sum is σ = 61461504. Its totient is φ = 5292000.

The previous prime is 21354083. The next prime is 21354103. The reversal of 21354102 is 20145312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21354103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300727 + ... + 300797.

It is an arithmetic number, because the mean of its divisors is an integer number (426816).

Almost surely, 221354102 is an apocalyptic number.

21354102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21354102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30730752).

21354102 is an abundant number, since it is smaller than the sum of its proper divisors (40107402).

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

21354102 is a wasteful number, since it uses less digits than its factorization.

21354102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21354102 is about 4621.0498807089. The cubic root of 21354102 is about 277.4344817321.

Adding to 21354102 its reverse (20145312), we get a palindrome (41499414).

The spelling of 21354102 in words is "twenty-one million, three hundred fifty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 49 62 63 66 71 77 93 98 99 126 142 147 154 186 198 213 217 231 279 294 341 426 434 441 462 497 539 558 639 651 682 693 781 882 994 1023 1078 1278 1302 1386 1491 1519 1562 1617 1953 2046 2201 2343 2387 2982 3038 3069 3234 3479 3906 4402 4473 4557 4686 4774 4851 5467 6138 6603 6958 7029 7161 8946 9114 9702 10437 10934 13206 13671 14058 14322 15407 16401 16709 19809 20874 21483 24211 27342 30814 31311 32802 33418 38269 39618 42966 46221 48422 49203 50127 62622 72633 76538 92442 98406 100254 107849 114807 138663 145266 150381 169477 215698 217899 229614 277326 300762 323547 338954 344421 435798 508431 647094 688842 970641 1016862 1186339 1525293 1941282 2372678 3050586 3559017 7118034 10677051 21354102