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10109016 = 2333172753
BaseRepresentation
bin100110100100…
…000001011000
3201000120222000
4212210001120
510041442031
61000401000
7151632231
oct46440130
921016860
1010109016
115785065
123476160
13212c388
1414b2088
15d4a3e6
hex9a4058

10109016 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 3170304.

The previous prime is 10109009. The next prime is 10109017. The reversal of 10109016 is 61090101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10109016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109017) 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, 2296 + ... + 5048.

Almost surely, 210109016 is an apocalyptic number.

10109016 is the 1836-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10109016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

10109016 is an abundant number, since it is smaller than the sum of its proper divisors (19634184).

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

10109016 is a wasteful number, since it uses less digits than its factorization.

10109016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10109016 is about 3179.4678800076. The cubic root of 10109016 is about 216.2235340215.

Adding to 10109016 its reverse (61090101), we get a palindrome (71199117).

The spelling of 10109016 in words is "ten million, one hundred nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 2753 3672 5506 8259 11012 16518 22024 24777 33036 46801 49554 66072 74331 93602 99108 140403 148662 187204 198216 280806 297324 374408 421209 561612 594648 842418 1123224 1263627 1684836 2527254 3369672 5054508 10109016