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10120356 = 2233831129
BaseRepresentation
bin100110100110…
…110010100100
3201001011112000
4212212302210
510042322411
61000525300
7152010261
oct46466244
921034460
1010120356
115792634
123480830
13213459c
1414b6268
15d4d956
hex9a6ca4

10120356 has 48 divisors (see below), whose sum is σ = 26577600. Its totient is φ = 3329856.

The previous prime is 10120349. The next prime is 10120361. The reversal of 10120356 is 65302101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8400 + ... + 9528.

It is an arithmetic number, because the mean of its divisors is an integer number (553700).

Almost surely, 210120356 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 10120356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288800).

10120356 is an abundant number, since it is smaller than the sum of its proper divisors (16457244).

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

10120356 is a wasteful number, since it uses less digits than its factorization.

10120356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10120356 is about 3181.2506974459. The cubic root of 10120356 is about 216.3043548978.

Adding to 10120356 its reverse (65302101), we get a palindrome (75422457).

The spelling of 10120356 in words is "ten million, one hundred twenty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1129 1494 2241 2258 2988 3387 4482 4516 6774 8964 10161 13548 20322 30483 40644 60966 93707 121932 187414 281121 374828 562242 843363 1124484 1686726 2530089 3373452 5060178 10120356