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10047961 = 711211863
BaseRepresentation
bin100110010101…
…000111011001
3200220111012201
4212111013121
510033013321
6555210201
7151256230
oct46250731
920814181
1010047961
115743200
123446961
13210a651
141497b17
15d37291
hex9951d9

10047961 has 12 divisors (see below), whose sum is σ = 12623296. Its totient is φ = 7828920.

The previous prime is 10047943. The next prime is 10047967. The reversal of 10047961 is 16974001.

10047961 is digitally balanced in base 2, base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10047961 - 217 = 9916889 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

10047961 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10047967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5085 + ... + 6778.

Almost surely, 210047961 is an apocalyptic number.

10047961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10047961 is a deficient number, since it is larger than the sum of its proper divisors (2575335).

10047961 is a wasteful number, since it uses less digits than its factorization.

10047961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 10047961 is about 3169.8518892844. The cubic root of 10047961 is about 215.7873493002.

It can be divided in two parts, 100 and 47961, that multiplied together give a square (4796100 = 21902).

The spelling of 10047961 in words is "ten million, forty-seven thousand, nine hundred sixty-one".

Divisors: 1 7 11 77 121 847 11863 83041 130493 913451 1435423 10047961