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10870146 = 2337149193
BaseRepresentation
bin101001011101…
…110110000010
3202110021001000
4221131312002
510240321041
61024552430
7161252250
oct51356602
922407030
1010870146
1161549a1
123782716
132337951
14162d5d0
15e4abb6
hexa5dd82

10870146 has 64 divisors (see below), whose sum is σ = 27936000. Its totient is φ = 3068928.

The previous prime is 10870129. The next prime is 10870151. The reversal of 10870146 is 64107801.

It is a happy number.

10870146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108701462 = 236320148122632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56226 + ... + 56418.

It is an arithmetic number, because the mean of its divisors is an integer number (436500).

Almost surely, 210870146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10870146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968000).

10870146 is an abundant number, since it is smaller than the sum of its proper divisors (17065854).

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

10870146 is a wasteful number, since it uses less digits than its factorization.

10870146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10870146 is about 3296.9904458460. The cubic root of 10870146 is about 221.5194132594.

Adding to 10870146 its reverse (64107801), we get a palindrome (74977947).

The spelling of 10870146 in words is "ten million, eight hundred seventy thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 193 298 378 386 447 579 894 1043 1158 1341 1351 1737 2086 2682 2702 3129 3474 4023 4053 5211 6258 8046 8106 9387 10422 12159 18774 24318 28161 28757 36477 56322 57514 72954 86271 172542 201299 258813 402598 517626 603897 776439 1207794 1552878 1811691 3623382 5435073 10870146