Search a number
-
+
121042240 = 26511137251
BaseRepresentation
bin1110011011011…
…11010101000000
322102202120201221
413031233111000
5221441322430
620002204424
72666561554
oct715572500
9272676657
10121042240
1162363910
1234653714
131c100437
141210b864
15a95e57a
hex736f540

121042240 has 112 divisors (see below), whose sum is σ = 317991744. Its totient is φ = 43520000.

The previous prime is 121042237. The next prime is 121042241. The reversal of 121042240 is 42240121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121042241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482115 + ... + 482365.

It is an arithmetic number, because the mean of its divisors is an integer number (2839212).

Almost surely, 2121042240 is an apocalyptic number.

121042240 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 121042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158995872).

121042240 is an abundant number, since it is smaller than the sum of its proper divisors (196949504).

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

121042240 is a wasteful number, since it uses less digits than its factorization.

121042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 121042240 is about 11001.9198324656. The cubic root of 121042240 is about 494.6662921010. Note that the first 3 decimals are identical.

Adding to 121042240 its reverse (42240121), we get a palindrome (163282361).

The spelling of 121042240 in words is "one hundred twenty-one million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 137 160 176 220 251 274 320 352 440 502 548 685 704 880 1004 1096 1255 1370 1507 1760 2008 2192 2510 2740 2761 3014 3520 4016 4384 5020 5480 5522 6028 7535 8032 8768 10040 10960 11044 12056 13805 15070 16064 20080 21920 22088 24112 27610 30140 34387 40160 43840 44176 48224 55220 60280 68774 80320 88352 96448 110440 120560 137548 171935 176704 220880 241120 275096 343870 378257 441760 482240 550192 687740 756514 883520 1100384 1375480 1513028 1891285 2200768 2750960 3026056 3782570 5501920 6052112 7565140 11003840 12104224 15130280 24208448 30260560 60521120 121042240