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10685224 = 2311295379
BaseRepresentation
bin101000110000…
…101100101000
3202002212101001
4220300230220
510213411344
61021004344
7156552154
oct50605450
922085331
1010685224
116038a70
1236b36b4
1322a1724
1415c2064
15e10ed4
hexa30b28

10685224 has 64 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 4542720.

The previous prime is 10685209. The next prime is 10685243. The reversal of 10685224 is 42258601.

It is a super-2 number, since 2×106852242 = 228348023860352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10685192 and 10685201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135217 + ... + 135295.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 210685224 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 10685224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

10685224 is an abundant number, since it is smaller than the sum of its proper divisors (12642776).

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

10685224 is a wasteful number, since it uses less digits than its factorization.

10685224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10685224 is about 3268.8260889806. The cubic root of 10685224 is about 220.2560654774.

The spelling of 10685224 in words is "ten million, six hundred eighty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 53 58 79 88 106 116 158 212 232 316 319 424 583 632 638 869 1166 1276 1537 1738 2291 2332 2552 3074 3476 4187 4582 4664 6148 6952 8374 9164 12296 16748 16907 18328 25201 33496 33814 46057 50402 67628 92114 100804 121423 135256 184228 201608 242846 368456 485692 971384 1335653 2671306 5342612 10685224