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10616420 = 225557953
BaseRepresentation
bin101000011111…
…111001100100
3201222100222202
4220133321210
510204211140
61015314032
7156144443
oct50377144
921870882
1010616420
115aa1301
12367b918
132279309
1415a4d5a
15dea915
hexa1fe64

10616420 has 24 divisors (see below), whose sum is σ = 22357944. Its totient is φ = 4234496.

The previous prime is 10616393. The next prime is 10616423. The reversal of 10616420 is 2461601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14884 + 10601536 = 122^2 + 3256^2 .

It is a super-2 number, since 2×106164202 = 225416747232800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10616392 and 10616401.

It is not an unprimeable number, because it can be changed into a prime (10616423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10664 + ... + 11616.

It is an arithmetic number, because the mean of its divisors is an integer number (931581).

Almost surely, 210616420 is an apocalyptic number.

10616420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10616420 is an abundant number, since it is smaller than the sum of its proper divisors (11741524).

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

10616420 is a wasteful number, since it uses less digits than its factorization.

10616420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10616420 is about 3258.2848248734. The cubic root of 10616420 is about 219.7822915173.

The spelling of 10616420 in words is "ten million, six hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 557 953 1114 1906 2228 2785 3812 4765 5570 9530 11140 19060 530821 1061642 2123284 2654105 5308210 10616420