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10620 = 2232559
BaseRepresentation
bin10100101111100
3112120100
42211330
5314440
6121100
742651
oct24574
915510
1010620
117a85
126190
134aac
143c28
153230
hex297c

10620 has 36 divisors (see below), whose sum is σ = 32760. Its totient is φ = 2784.

The previous prime is 10613. The next prime is 10627. The reversal of 10620 is 2601.

It can be divided in two parts, 10 and 620, that added together give a triangular number (630 = T35).

10620 = T41 + T42 + ... + T50.

It is an interprime number because it is at equal distance from previous prime (10613) and next prime (10627).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106202 = 225568800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627) by changing a digit.

10620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

210620 is an apocalyptic number.

10620 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 10620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

10620 is an abundant number, since it is smaller than the sum of its proper divisors (22140).

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

10620 is a wasteful number, since it uses less digits than its factorization.

With its successor (10621) it forms an eRAP, since the sums of their prime factors are consecutive (74 and 75).

10620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10620 is about 103.0533842239. The cubic root of 10620 is about 21.9806993258.

The spelling of 10620 in words is "ten thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620