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10730020 = 2257210949
BaseRepresentation
bin101000111011…
…101000100100
3202012010211011
4220323220210
510221330040
61021552004
7160126600
oct50735044
922163734
1010730020
116069694
123715604
1322b8c32
1415d4500
15e1e3ea
hexa3ba24

10730020 has 36 divisors (see below), whose sum is σ = 26214300. Its totient is φ = 3678528.

The previous prime is 10729993. The next prime is 10730021. The reversal of 10730020 is 2003701.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 8809024 = 1386^2 + 2968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10730021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4495 + ... + 6454.

It is an arithmetic number, because the mean of its divisors is an integer number (728175).

Almost surely, 210730020 is an apocalyptic number.

10730020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10730020 is an abundant number, since it is smaller than the sum of its proper divisors (15484280).

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

10730020 is a wasteful number, since it uses less digits than its factorization.

10730020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10730020 is about 3275.6709236430. The cubic root of 10730020 is about 220.5634318220.

Adding to 10730020 its reverse (2003701), we get a palindrome (12733721).

The spelling of 10730020 in words is "ten million, seven hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10949 21898 43796 54745 76643 109490 153286 218980 306572 383215 536501 766430 1073002 1532860 2146004 2682505 5365010 10730020