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10693305 = 325783409
BaseRepresentation
bin101000110010…
…101010111001
3202010021110100
4220302222321
510214141210
61021110013
7156614550
oct50625271
922107410
1010693305
116044047
1236b8309
1322a52cc
1415c4d97
15e135c0
hexa32ab9

10693305 has 48 divisors (see below), whose sum is σ = 21490560. Its totient is φ = 4817664.

The previous prime is 10693301. The next prime is 10693307. The reversal of 10693305 is 50339601.

10693305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10693305 - 22 = 10693301 is a prime.

It is a super-2 number, since 2×106933052 = 228693543646050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10693301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25941 + ... + 26349.

It is an arithmetic number, because the mean of its divisors is an integer number (447720).

Almost surely, 210693305 is an apocalyptic number.

10693305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10693305 is an abundant number, since it is smaller than the sum of its proper divisors (10797255).

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

10693305 is a wasteful number, since it uses less digits than its factorization.

10693305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10693305 is about 3270.0619260191. The cubic root of 10693305 is about 220.3115764259.

The spelling of 10693305 in words is "ten million, six hundred ninety-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 409 415 581 747 1227 1245 1743 2045 2863 2905 3681 3735 5229 6135 8589 8715 14315 18405 25767 26145 33947 42945 101841 128835 169735 237629 305523 509205 712887 1188145 1527615 2138661 3564435 10693305