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20633088 = 293719101
BaseRepresentation
bin100111010110…
…1011000000000
31102211021021110
41032231120000
520240224323
62014123320
7340243530
oct116553000
942737243
1020633088
1110712a43
126ab0540
134375638
142a514c0
151c28793
hex13ad600

20633088 has 160 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 5529600.

The previous prime is 20633083. The next prime is 20633089. The reversal of 20633088 is 88033602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20633083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204238 + ... + 204338.

It is an arithmetic number, because the mean of its divisors is an integer number (417384).

Almost surely, 220633088 is an apocalyptic number.

20633088 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 20633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

20633088 is an abundant number, since it is smaller than the sum of its proper divisors (46148352).

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

20633088 is a wasteful number, since it uses less digits than its factorization.

20633088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20633088 is about 4542.3659033592. The cubic root of 20633088 is about 274.2761703028.

It can be divided in two parts, 2063 and 3088, that added together give a triangular number (5151 = T101).

The spelling of 20633088 in words is "twenty million, six hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 101 112 114 128 133 152 168 192 202 224 228 256 266 303 304 336 384 399 404 448 456 512 532 606 608 672 707 768 798 808 896 912 1064 1212 1216 1344 1414 1536 1596 1616 1792 1824 1919 2121 2128 2424 2432 2688 2828 3192 3232 3584 3648 3838 4242 4256 4848 4864 5376 5656 5757 6384 6464 7296 7676 8484 8512 9696 9728 10752 11312 11514 12768 12928 13433 14592 15352 16968 17024 19392 22624 23028 25536 25856 26866 29184 30704 33936 34048 38784 40299 45248 46056 51072 51712 53732 61408 67872 68096 77568 80598 90496 92112 102144 107464 122816 135744 155136 161196 180992 184224 204288 214928 245632 271488 322392 361984 368448 429856 491264 542976 644784 736896 859712 982528 1085952 1289568 1473792 1719424 2579136 2947584 3438848 5158272 6877696 10316544 20633088