Search a number
-
+
121134440 = 23574310061
BaseRepresentation
bin1110011100001…
…01110101101000
322102221021012202
413032011311220
5222002300230
620004155332
73000424430
oct716056550
9272837182
10121134440
1162417109
1234698b48
131c1333ab
14121332c0
15a97ba45
hex7385d68

121134440 has 64 divisors (see below), whose sum is σ = 318764160. Its totient is φ = 40561920.

The previous prime is 121134439. The next prime is 121134457. The reversal of 121134440 is 44431121.

It is a super-2 number, since 2×1211344402 = 29347105108227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7010 + ... + 17070.

It is an arithmetic number, because the mean of its divisors is an integer number (4980690).

Almost surely, 2121134440 is an apocalyptic number.

121134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159382080).

121134440 is an abundant number, since it is smaller than the sum of its proper divisors (197629720).

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

121134440 is a wasteful number, since it uses less digits than its factorization.

121134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 121134440 is about 11006.1092126146. The cubic root of 121134440 is about 494.7918588916.

Adding to 121134440 its reverse (44431121), we get a palindrome (165565561).

The spelling of 121134440 in words is "one hundred twenty-one million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 10061 12040 20122 40244 50305 70427 80488 100610 140854 201220 281708 352135 402440 432623 563416 704270 865246 1408540 1730492 2163115 2817080 3028361 3460984 4326230 6056722 8652460 12113444 15141805 17304920 24226888 30283610 60567220 121134440