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21106272 = 2531122379
BaseRepresentation
bin101000010000…
…0111001100000
31110201022100210
41100200321200
520400400042
62032214120
7344254215
oct120407140
943638323
1021106272
1110a06500
12709a340
1344acb25
142b35b0c
151cbda9c
hex1420e60

21106272 has 144 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 6040320.

The previous prime is 21106259. The next prime is 21106277. The reversal of 21106272 is 27260112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21106277) 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, 267129 + ... + 267207.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 221106272 is an apocalyptic number.

21106272 is a gapful number since it is divisible by the number (22) 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 21106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

21106272 is an abundant number, since it is smaller than the sum of its proper divisors (43244448).

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

21106272 is a wasteful number, since it uses less digits than its factorization.

21106272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 21106272 is about 4594.1562881556. The cubic root of 21106272 is about 276.3570258849.

Adding to 21106272 its reverse (27260112), we get a palindrome (48366384).

The spelling of 21106272 in words is "twenty-one million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 79 88 92 96 121 132 138 158 176 184 237 242 253 264 276 316 352 363 368 474 484 506 528 552 632 726 736 759 869 948 968 1012 1056 1104 1264 1452 1518 1738 1817 1896 1936 2024 2208 2528 2607 2783 2904 3036 3476 3634 3792 3872 4048 5214 5451 5566 5808 6072 6952 7268 7584 8096 8349 9559 10428 10902 11132 11616 12144 13904 14536 16698 19118 19987 20856 21804 22264 24288 27808 28677 29072 33396 38236 39974 41712 43608 44528 57354 58144 59961 66792 76472 79948 83424 87216 89056 114708 119922 133584 152944 159896 174432 219857 229416 239844 267168 305888 319792 439714 458832 479688 639584 659571 879428 917664 959376 1319142 1758856 1918752 2638284 3517712 5276568 7035424 10553136 21106272