Search a number
-
+
10630620 = 223257111359
BaseRepresentation
bin101000100011…
…010111011100
3202000002110200
4220203113130
510210134440
61015503500
7156234030
oct50432734
922002420
1010630620
116000a40
123687b90
132282910
1415aa1c0
15deec30
hexa235dc

10630620 has 288 divisors, whose sum is σ = 44029440. Its totient is φ = 2004480.

The previous prime is 10630619. The next prime is 10630621. The reversal of 10630620 is 2603601.

It is a happy number.

10630620 is a `hidden beast` number, since 10 + 6 + 30 + 620 = 666.

10630620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10630619) and next prime (10630621).

It is a super-2 number, since 2×106306202 = 226020163168800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10630593 and 10630602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10630621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180151 + ... + 180209.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 210630620 is an apocalyptic number.

10630620 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 10630620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

10630620 is an abundant number, since it is smaller than the sum of its proper divisors (33398820).

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

10630620 is a wasteful number, since it uses less digits than its factorization.

10630620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10630620 is about 3260.4631572830. The cubic root of 10630620 is about 219.8802378468.

The spelling of 10630620 in words is "ten million, six hundred thirty thousand, six hundred twenty".