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10933272 = 2333721033
BaseRepresentation
bin101001101101…
…010000011000
3202120110122000
4221231100120
510244331042
61030201000
7161634300
oct51552030
922513560
1010933272
116198369
1237b3160
13235a5bc
141648600
15e5e74c
hexa6d418

10933272 has 96 divisors (see below), whose sum is σ = 35362800. Its totient is φ = 3120768.

The previous prime is 10933271. The next prime is 10933277. The reversal of 10933272 is 27233901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10933271) 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, 10068 + ... + 11100.

Almost surely, 210933272 is an apocalyptic number.

10933272 is a gapful number since it is divisible by the number (12) 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 10933272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681400).

10933272 is an abundant number, since it is smaller than the sum of its proper divisors (24429528).

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

10933272 is a wasteful number, since it uses less digits than its factorization.

10933272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10933272 is about 3306.5498635284. The cubic root of 10933272 is about 221.9473944018.

The spelling of 10933272 in words is "ten million, nine hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1033 1176 1323 1512 1764 2066 2646 3099 3528 4132 5292 6198 7231 8264 9297 10584 12396 14462 18594 21693 24792 27891 28924 37188 43386 50617 55782 57848 65079 74376 86772 101234 111564 130158 151851 173544 195237 202468 223128 260316 303702 390474 404936 455553 520632 607404 780948 911106 1214808 1366659 1561896 1822212 2733318 3644424 5466636 10933272