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902097 = 3473743
BaseRepresentation
bin11011100001111010001
31200211110000
43130033101
5212331342
631200213
710445010
oct3341721
91624400
10902097
11566839
12376069
132577b1
14196a77
1512c44c
hexdc3d1

902097 has 40 divisors (see below), whose sum is σ = 1618496. Its totient is φ = 489888.

The previous prime is 902089. The next prime is 902119. The reversal of 902097 is 790209.

902097 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 902097 - 23 = 902089 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 902097.

It is not an unprimeable number, because it can be changed into a prime (902017) 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 39 ways as a sum of consecutive naturals, for example, 20958 + ... + 21000.

2902097 is an apocalyptic number.

It is an amenable number.

902097 is a deficient number, since it is larger than the sum of its proper divisors (716399).

902097 is a wasteful number, since it uses less digits than its factorization.

902097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 902097 is about 949.7878710533. The cubic root of 902097 is about 96.6238666386.

902097 divided by its sum of digits (27) gives a triangular number (33411 = T258).

It can be divided in two parts, 90 and 2097, that added together give a 7-th power (2187 = 37).

The spelling of 902097 in words is "nine hundred two thousand, ninety-seven".

Divisors: 1 3 7 9 21 27 37 43 63 81 111 129 189 259 301 333 387 567 777 903 999 1161 1591 2331 2709 2997 3483 4773 6993 8127 11137 14319 20979 24381 33411 42957 100233 128871 300699 902097