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10629020 = 2251792969
BaseRepresentation
bin101000100010…
…111110011100
3202000000021102
4220202332130
510210112040
61015452232
7156226253
oct50427634
922000242
1010629020
115aaa816
123687078
132281c7c
1415a979a
15dee515
hexa22f9c

10629020 has 24 divisors (see below), whose sum is σ = 22453200. Its totient is φ = 4226432.

The previous prime is 10629007. The next prime is 10629023. The reversal of 10629020 is 2092601.

10629020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106290202 = 225952132320800, 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 = 10628983 and 10629001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10629023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2096 + ... + 5064.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 210629020 is an apocalyptic number.

10629020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10629020 is an abundant number, since it is smaller than the sum of its proper divisors (11824180).

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

10629020 is a wasteful number, since it uses less digits than its factorization.

10629020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10629020 is about 3260.2177841365. The cubic root of 10629020 is about 219.8692060026.

The spelling of 10629020 in words is "ten million, six hundred twenty-nine thousand, twenty".

Divisors: 1 2 4 5 10 20 179 358 716 895 1790 2969 3580 5938 11876 14845 29690 59380 531451 1062902 2125804 2657255 5314510 10629020