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10872928 = 2511172379
BaseRepresentation
bin101001011110…
…100001100000
3202110101212001
4221132201200
510240413203
61025013344
7161263333
oct51364140
922411761
1010872928
116156aa0
123784254
132338cb1
14163061a
15e4b91d
hexa5e860

10872928 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4392960.

The previous prime is 10872919. The next prime is 10872929. The reversal of 10872928 is 82927801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872929) 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, 137593 + ... + 137671.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 210872928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10872928 is an abundant number, since it is smaller than the sum of its proper divisors (15254432).

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

10872928 is a wasteful number, since it uses less digits than its factorization.

10872928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 10872928 is about 3297.4123187736. The cubic root of 10872928 is about 221.5383094926.

The spelling of 10872928 in words is "ten million, eight hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 68 79 88 92 136 158 176 184 187 253 272 316 352 368 374 391 506 544 632 736 748 782 869 1012 1264 1343 1496 1564 1738 1817 2024 2528 2686 2992 3128 3476 3634 4048 4301 5372 5984 6256 6952 7268 8096 8602 10744 12512 13904 14536 14773 17204 19987 21488 27808 29072 29546 30889 34408 39974 42976 58144 59092 61778 68816 79948 118184 123556 137632 159896 236368 247112 319792 339779 472736 494224 639584 679558 988448 1359116 2718232 5436464 10872928