Search a number
-
+
1097291010 = 2351710919739
BaseRepresentation
bin100000101100111…
…0101010100000010
32211110202011021210
41001121311110002
54221401303020
6300514430550
736122551104
oct10131652402
92743664253
101097291010
11513434a82
12267592456
1314644292a
14a5a35574
15664ed3e0
hex41675502

1097291010 has 64 divisors (see below), whose sum is σ = 2814134400. Its totient is φ = 272858112.

The previous prime is 1097290963. The next prime is 1097291011. The reversal of 1097291010 is 101927901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1097291011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45721 + ... + 65459.

It is an arithmetic number, because the mean of its divisors is an integer number (43970850).

Almost surely, 21097291010 is an apocalyptic number.

1097291010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097291010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407067200).

1097291010 is an abundant number, since it is smaller than the sum of its proper divisors (1716843390).

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

1097291010 is a wasteful number, since it uses less digits than its factorization.

1097291010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19875.

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 1097291010 is about 33125.3831675952. The cubic root of 1097291010 is about 1031.4320138601.

The spelling of 1097291010 in words is "one billion, ninety-seven million, two hundred ninety-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 109 170 218 255 327 510 545 654 1090 1635 1853 3270 3706 5559 9265 11118 18530 19739 27795 39478 55590 59217 98695 118434 197390 296085 335563 592170 671126 1006689 1677815 2013378 2151551 3355630 4303102 5033445 6454653 10066890 10757755 12909306 21515510 32273265 36576367 64546530 73152734 109729101 182881835 219458202 365763670 548645505 1097291010