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971118090 = 2325311073253
BaseRepresentation
bin111001111000100…
…001011000001010
32111200022220120200
4321320201120022
53442101234330
6240210233030
733031240035
oct7170413012
92450286520
10971118090
11459197438
12231285776
131262670b7
1492d9001c
155a3c8a60
hex39e2160a

971118090 has 96 divisors (see below), whose sum is σ = 2631522816. Its totient is φ = 248192640.

The previous prime is 971118077. The next prime is 971118097. The reversal of 971118090 is 90811179.

It is not an unprimeable number, because it can be changed into a prime (971118097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296904 + ... + 300156.

It is an arithmetic number, because the mean of its divisors is an integer number (27411696).

Almost surely, 2971118090 is an apocalyptic number.

971118090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 971118090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315761408).

971118090 is an abundant number, since it is smaller than the sum of its proper divisors (1660404726).

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

971118090 is a wasteful number, since it uses less digits than its factorization.

971118090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 971118090 is about 31162.7676883810. The cubic root of 971118090 is about 990.2784952645.

The spelling of 971118090 in words is "nine hundred seventy-one million, one hundred eighteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 107 155 186 214 279 310 321 465 535 558 642 930 963 1070 1395 1605 1926 2790 3210 3253 3317 4815 6506 6634 9630 9759 9951 16265 16585 19518 19902 29277 29853 32530 33170 48795 49755 58554 59706 97590 99510 100843 146385 149265 201686 292770 298530 302529 348071 504215 605058 696142 907587 1008430 1044213 1512645 1740355 1815174 2088426 3025290 3132639 3480710 4537935 5221065 6265278 9075870 10442130 10790201 15663195 21580402 31326390 32370603 53951005 64741206 97111809 107902010 161853015 194223618 323706030 485559045 971118090