Search a number
-
+
121160610 = 23451011481
BaseRepresentation
bin1110011100011…
…00001110100010
322102222121010000
413032030032202
5222004114420
620004520430
73000563634
oct716141642
9272877100
10121160610
116243483a
12346b0116
131c14228c
141213ca54
15a984690
hex738c3a2

121160610 has 80 divisors (see below), whose sum is σ = 329235192. Its totient is φ = 31968000.

The previous prime is 121160609. The next prime is 121160621. The reversal of 121160610 is 16061121.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 5103081 = 10773^2 + 2259^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 81070 + ... + 82550.

Almost surely, 2121160610 is an apocalyptic number.

121160610 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 121160610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164617596).

121160610 is an abundant number, since it is smaller than the sum of its proper divisors (208074582).

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

121160610 is a wasteful number, since it uses less digits than its factorization.

121160610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121160610 is about 11007.2980335775. The cubic root of 121160610 is about 494.8274880944.

The spelling of 121160610 in words is "one hundred twenty-one million, one hundred sixty thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1481 1515 1818 2727 2962 3030 4443 4545 5454 7405 8181 8886 9090 13329 13635 14810 16362 22215 26658 27270 39987 40905 44430 66645 79974 81810 119961 133290 149581 199935 239922 299162 399870 448743 599805 747905 897486 1199610 1346229 1495810 2243715 2692458 4038687 4487430 6731145 8077374 12116061 13462290 20193435 24232122 40386870 60580305 121160610