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21102984 = 2333717821
BaseRepresentation
bin101000010000…
…0000110001000
31110201010212000
41100200012020
520400243414
62032151000
7344241510
oct120400610
943633760
1021102984
1110a03a91
127098460
1344ab496
142b34840
151cbcb09
hex1420188

21102984 has 128 divisors (see below), whose sum is σ = 71020800. Its totient is φ = 5667840.

The previous prime is 21102979. The next prime is 21103003. The reversal of 21102984 is 48920112.

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

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, 25294 + ... + 26114.

It is an arithmetic number, because the mean of its divisors is an integer number (554850).

Almost surely, 221102984 is an apocalyptic number.

21102984 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 21102984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35510400).

21102984 is an abundant number, since it is smaller than the sum of its proper divisors (49917816).

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

21102984 is a wasteful number, since it uses less digits than its factorization.

21102984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21102984 is about 4593.7984283162. The cubic root of 21102984 is about 276.3426745570.

The spelling of 21102984 in words is "twenty-one million, one hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 821 918 952 1071 1224 1428 1512 1642 1836 2142 2463 2856 3213 3284 3672 4284 4926 5747 6426 6568 7389 8568 9852 11494 12852 13957 14778 17241 19704 22167 22988 25704 27914 29556 34482 41871 44334 45976 51723 55828 59112 68964 83742 88668 97699 103446 111656 125613 137928 155169 167484 177336 195398 206892 251226 293097 310338 334968 376839 390796 413784 502452 586194 620676 753678 781592 879291 1004904 1172388 1241352 1507356 1758582 2344776 2637873 3014712 3517164 5275746 7034328 10551492 21102984