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10016380 = 2251124139
BaseRepresentation
bin100110001101…
…011001111100
3200211212220001
4212031121330
510031011010
6554404044
7151065163
oct46153174
920755801
1010016380
115721500
123430624
1320c916a
14148a3da
15d2cc3a
hex98d67c

10016380 has 36 divisors (see below), whose sum is σ = 23126040. Its totient is φ = 3641440.

The previous prime is 10016353. The next prime is 10016387. The reversal of 10016380 is 8361001.

10016380 = T185 + T186 + ... + T404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 4489.

It is an arithmetic number, because the mean of its divisors is an integer number (642390).

Almost surely, 210016380 is an apocalyptic number.

10016380 is a gapful number since it is divisible by the number (10) 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 10016380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563020).

10016380 is an abundant number, since it is smaller than the sum of its proper divisors (13109660).

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

10016380 is a wasteful number, since it uses less digits than its factorization.

10016380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10016380 is about 3164.8665058735. The cubic root of 10016380 is about 215.5610369685.

Adding to 10016380 its reverse (8361001), we get a palindrome (18377381).

It can be divided in two parts, 1001 and 6380, that added together give a triangular number (7381 = T121).

The spelling of 10016380 in words is "ten million, sixteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 4139 8278 16556 20695 41390 45529 82780 91058 182116 227645 455290 500819 910580 1001638 2003276 2504095 5008190 10016380