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10214620 = 22513172311
BaseRepresentation
bin100110111101…
…110011011100
3201012221211021
4212331303130
510103331440
61002533524
7152552143
oct46756334
921187737
1010214620
115847439
1235072a4
132168470
1414dc75a
15d6b84a
hex9bdcdc

10214620 has 48 divisors (see below), whose sum is σ = 24470208. Its totient is φ = 3548160.

The previous prime is 10214597. The next prime is 10214623. The reversal of 10214620 is 2641201.

It is a super-3 number, since 3×102146203 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10214594 and 10214603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214623) 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, 3265 + ... + 5575.

It is an arithmetic number, because the mean of its divisors is an integer number (509796).

Almost surely, 210214620 is an apocalyptic number.

10214620 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 10214620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235104).

10214620 is an abundant number, since it is smaller than the sum of its proper divisors (14255588).

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

10214620 is a wasteful number, since it uses less digits than its factorization.

10214620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10214620 is about 3196.0319147343. The cubic root of 10214620 is about 216.9738548636.

Adding to 10214620 its reverse (2641201), we get a palindrome (12855821).

The spelling of 10214620 in words is "ten million, two hundred fourteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2311 4420 4622 9244 11555 23110 30043 39287 46220 60086 78574 120172 150215 157148 196435 300430 392870 510731 600860 785740 1021462 2042924 2553655 5107310 10214620