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990765153 = 32722246633
BaseRepresentation
bin111011000011011…
…110000001100001
32120001022002021200
4323003132001201
54012113441103
6242151311413
733360236100
oct7303360141
92501262250
10990765153
11469296584
1223797b569
1312a355991
1495826037
155beaa0a3
hex3b0de061

990765153 has 18 divisors (see below), whose sum is σ = 1664755794. Its totient is φ = 566151264.

The previous prime is 990765119. The next prime is 990765187. The reversal of 990765153 is 351567099.

It is an interprime number because it is at equal distance from previous prime (990765119) and next prime (990765187).

It can be written as a sum of positive squares in only one way, i.e., 931043169 + 59721984 = 30513^2 + 7728^2 .

It is not a de Polignac number, because 990765153 - 28 = 990764897 is a prime.

It is a super-2 number, since 2×9907651532 = 1963231176798226818, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 990765099 and 990765108.

It is not an unprimeable number, because it can be changed into a prime (990765103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1122876 + ... + 1123757.

It is an arithmetic number, because the mean of its divisors is an integer number (92486433).

Almost surely, 2990765153 is an apocalyptic number.

It is an amenable number.

990765153 is a deficient number, since it is larger than the sum of its proper divisors (673990641).

990765153 is a wasteful number, since it uses less digits than its factorization.

990765153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246653 (or 2246643 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 990765153 is about 31476.4221759717. The cubic root of 990765153 is about 996.9121929278.

The spelling of 990765153 in words is "nine hundred ninety million, seven hundred sixty-five thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 441 2246633 6739899 15726431 20219697 47179293 110085017 141537879 330255051 990765153