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10893961 = 131018297
BaseRepresentation
bin101001100011…
…101010001001
3202111110201001
4221203222021
510242101321
61025255001
7161411551
oct51435211
922443631
1010893961
116170881
123794461
132345740
141638161
15e52c91
hexa63a89

10893961 has 8 divisors (see below), whose sum is σ = 11849544. Its totient is φ = 9955200.

The previous prime is 10893943. The next prime is 10893979. The reversal of 10893961 is 16939801.

It is an interprime number because it is at equal distance from previous prime (10893943) and next prime (10893979).

It can be written as a sum of positive squares in 4 ways, for example, as 6031936 + 4862025 = 2456^2 + 2205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10893961 - 213 = 10885769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10893961.

It is not an unprimeable number, because it can be changed into a prime (10893901) 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 7 ways as a sum of consecutive naturals, for example, 2836 + ... + 5461.

It is an arithmetic number, because the mean of its divisors is an integer number (1481193).

Almost surely, 210893961 is an apocalyptic number.

It is an amenable number.

10893961 is a deficient number, since it is larger than the sum of its proper divisors (955583).

10893961 is a wasteful number, since it uses less digits than its factorization.

10893961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411.

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 10893961 is about 3300.6000969521. The cubic root of 10893961 is about 221.6810681531.

It can be divided in two parts, 1089 and 3961, that added together give a triangular number (5050 = T100).

The spelling of 10893961 in words is "ten million, eight hundred ninety-three thousand, nine hundred sixty-one".

Divisors: 1 13 101 1313 8297 107861 837997 10893961