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10620720 = 2434511149
BaseRepresentation
bin101000100000…
…111100110000
3201222120220000
4220200330300
510204330340
61015350000
7156163125
oct50407460
921876800
1010620720
115aa4560
123682300
13227b266
1415a674c
15debd30
hexa20f30

10620720 has 200 divisors, whose sum is σ = 40510800. Its totient is φ = 2557440.

The previous prime is 10620719. The next prime is 10620721. The reversal of 10620720 is 2702601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10620719) and next prime (10620721).

It is a super-2 number, since 2×106207202 = 225599386636800, 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 = 10620693 and 10620702.

It is not an unprimeable number, because it can be changed into a prime (10620721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71206 + ... + 71354.

It is an arithmetic number, because the mean of its divisors is an integer number (202554).

Almost surely, 210620720 is an apocalyptic number.

10620720 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 10620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

10620720 is an abundant number, since it is smaller than the sum of its proper divisors (29890080).

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

10620720 is a wasteful number, since it uses less digits than its factorization.

10620720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10620720 is about 3258.9446144419. The cubic root of 10620720 is about 219.8119605359.

The spelling of 10620720 in words is "ten million, six hundred twenty thousand, seven hundred twenty".